Quiz: Factoring (Algebraic)

Question 1a of 10 ( 3 Factoring Polynomials 153686 )

Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What is the factorization of the polynomial below?

2x2 + 18x + 36

Choice Feedback

A. (2x + 3)(x + 4)

B. 2(x + 3)(x - 12)

*C. 2(x + 3)(x + 6) Correct!

D. 2(x + 7)(x + 12)

Global Incorrect Feedback

The correct answer is: 2(x + 3)(x + 6).

Question 1b of 10 ( 3 Factoring Polynomials 245533 )

Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What is the factorization of the polynomial below?

2x2 + 18x + 40

Choice Feedback

A. (2x + 4)(x + 5)

B. 2(x + 4)(x - 20)

C. 2(x + 9)(x + 20)

*D. 2(x + 4)(x + 5) Correct!

Global Incorrect Feedback

The correct answer is: 2(x + 4)(x + 5).

Question 1c of 10 ( 3 Factoring Polynomials 245534 )

Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What is the factorization of the polynomial below?

2x2 + 14x + 20

Choice Feedback

A. (2x + 5)(x + 2)

*B. 2(x + 5)(x + 2) Correct!

C. 2(x + 5)(x - 7)

D. 2(x + 7)(x + 10)

Global Incorrect Feedback

The correct answer is: 2(x + 5)(x + 2).

Question 2a of 10 ( 3 Factoring Polynomials 153687 )

Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What is the factorization of the polynomial below?

3x2 + 21x + 6

Choice Feedback

A. 3(x + 2)(x + 1)

*B. 3(x2 + 7x + 2) Correct!

C. (x + 6)(x + 15)

D. (3x + 2)(x + 3)

Global Incorrect Feedback

The correct answer is: 3(x2 + 7x + 2).

Question 2b of 10 ( 3 Factoring Polynomials 245535 )

Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What is the factorization of the polynomial below?

4x2 + 20x + 8

Choice Feedback

A. 4(x + 2)(x + 1)

B. (x + 5)(x + 20)

*C. 4(x2 + 5x + 2) Correct!

D. (4x + 2)(x + 5)

Global Incorrect Feedback

The correct answer is: 4(x2 + 5x + 2).

Question 2c of 10 ( 3 Factoring Polynomials 245536 )

Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What is the factorization of the polynomial below?

2x2 + 22x + 8

Choice Feedback

A. 2(x + 7)(x + 4)

B. (2x + 7)(x + 4)

*C. 2(x2 + 11x + 4) Correct!

D. (3x + 2)(x + 3)

Global Incorrect Feedback

The correct answer is: 2(x2 + 11x + 4).

Question 3a of 10 ( 3 Factoring Polynomials 153688 )

Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What is the factorization of the polynomial below?

x3 - 7x2 + 10x

Choice Feedback

*A. x(x - 5)(x - 2) Correct!

B. (x2 - 5)(x - 2)

C. x(x - 10)(x - 1)

D. x2(x - 5)(x - 2)

Global Incorrect Feedback

The correct answer is: x(x - 5)(x - 2).

Question 3b of 10 ( 3 Factoring Polynomials 245537 )

Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What is the factorization of the polynomial below?

x3 - 7x2 + 6x

Choice Feedback

A. (x2 - 6)(x - 1)

B. x(x - 12)(x - 1)

*C. x(x - 6)(x - 1) Correct!

D. x2(x - 6)(x - 1)

Global Incorrect Feedback

The correct answer is: x(x - 6)(x - 1).

Question 3c of 10 ( 3 Factoring Polynomials 245538 )

Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What is the factorization of the polynomial below?

x3 - 7x2 + 12x

Choice Feedback

A. x2(x - 4)(x - 3)

B. (x2 - 4)(x - 3)

C. x(x - 12)(x - 1)

*D. x(x - 4)(x - 3) Correct!

Global Incorrect Feedback

The correct answer is: x(x - 4)(x - 3).

Question 4a of 10 ( 3 Factoring Polynomials 153689 )

Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What is the factorization of the polynomial below?

2x3 + 6x2 - 14x

Choice Feedback

A. (2x + 7)(2x - 2)

B. 2x(x - 7)(x - 2)

*C. 2x(x2 + 3x - 7) Correct!

D. (2x3 - 7)(x - 1)

Global Incorrect Feedback

The correct answer is: 2x(x2 + 3x - 7).

Question 4b of 10 ( 3 Factoring Polynomials 245539 )

Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What is the factorization of the polynomial below?

3x3 + 6x2 - 12x

Choice Feedback

A. (3x + 4)(2x - 2)

*B. 3x(x2 + 2x - 4) Correct!

C. 3x(x - 4)(x - 2)

D. (3x3 - 4)(x - 1)

Global Incorrect Feedback

The correct answer is: 3x(x2 + 2x - 4).

Question 4c of 10 ( 3 Factoring Polynomials 245540 )

Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What is the factorization of the polynomial below?

4x3 + 12x2 - 8x

Choice Feedback

*A. 4x(x2 + 3x - 2) Correct!

B. 4x(x - 7)(x - 2)

C. (2x + 7)(2x - 2)

D. (2x3 - 7)(x - 1)

Global Incorrect Feedback

The correct answer is: 4x(x2 + 3x - 2).

Question 5a of 10 ( 3 Factoring Polynomials 153691 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 6(x + 2), 6*(x+2)

Question: Express the polynomial below as a product of its factors.

6x + 12

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 6(x + 2).

Question 5b of 10 ( 3 Factoring Polynomials 245541 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 7(x + 3), 7*(x+3)

Question: Express the polynomial below as a product of its factors.

7x + 21

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 7(x + 3).

Question 5c of 10 ( 3 Factoring Polynomials 245542 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 5(x + 4), 5*(x+4)

Question: Express the polynomial below as a product of its factors.

5x + 20

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 5(x + 4).

Question 6a of 10 ( 3 Factoring Polynomials 153692 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 3x^2(7x - 4), 3x^2*(7x-4), 3x2(7x-4), (3x^2)(7x-4), (3x^2)*(7x-4), (3x2)(7x-4)

Question: Express the polynomial below as a product of its factors. Use the caret (^) to enter exponents. For example, enter x2 as x^2. 21x3 - 12x2

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 3x2(7x - 4).

Question 6b of 10 ( 3 Factoring Polynomials 245543 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 5x^2(4x - 3), 5x^2*(4x-3), 5x2(4x-3), (5x^2)(4x-3), (5x^2)*(4x-3), (5x2)(4x-3)

Question: Express the polynomial below as a product of its factors. Use the caret (^) to enter exponents. For example, enter x2 as x^2.

20x3 - 15x2

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 5x2(4x - 3).

Question 6c of 10 ( 3 Factoring Polynomials 245544 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 5x^2(3x - 4), 5x^2*(3x-4), 5x2(3x-4), (5x^2)(3x-4), (5x^2)*(3x-4), (5x2)(3x-4)

Question: Express the polynomial below as a product of its factors. Use the caret (^) to enter exponents. For example,

enter x2 as x^2. 15x3 - 20x2

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 5x2(3x - 4).

Question 7a of 10 ( 3 Factoring Polynomials 153693 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 6y, 6*y

Question: Find the common factor of all of the terms of the polynomial below.

18y3 - 6y2 + 36y

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 6y.

Question 7b of 10 ( 3 Factoring Polynomials 245545 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 5y, 5*y

Question: Find the common factor of all the terms of the polynomial below.

20y3 - 5y2 + 45y

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 5y.

Question 7c of 10 ( 3 Factoring Polynomials 245546 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 7y, 7*y

Question: Find the common factor of all the terms of the polynomial below.

49y3 - 7y2 + 14y

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 7y.

Question 8a of 10 ( 3 Factoring Polynomials 153694 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 4x, 4*x

Question: Find the common factor of all of the terms of the polynomial below.

12x2 - 4x

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 4x.

Question 8b of 10 ( 3 Factoring Polynomials 245547 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 5x, 5*x

Question: Find the common factor of all of the terms of the polynomial below.

15x2 - 5x

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 5x.

Question 8c of 10 ( 3 Factoring Polynomials 245548 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 9x, 9*x

Question: Find the common factor of all of the terms of the polynomial below.

18x2 - 9x

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 9x.

Question 9a of 10 ( 3 Factoring Polynomials 120643 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: greatest

Question: The terms of a polynomial will ofte have more than one factor in common. When this happens, you should

factor out the _____ common factor, abbreviated as GCF.

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1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: greatest.

Question 9b of 10 ( 3 Factoring Polynomials 245549 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: common

Question: The terms of a polynomial will often have more than one factor in common. When this happens, you should

factor out the greatest _____ factor, abbreviated as GCF.

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1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: common.

Question 9c of 10 ( 3 Factoring Polynomials 245550 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: greatest

Question: The terms of a polynomial will often have more than one factor in common. When this happens, you should

factor out the _____ common factor, abbreviated as GCF.

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: greatest.

Question 10a of 10 ( 3 Factoring Polynomials 153696 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 5x(4x^2 + 1), 5x*(4x^2+1), (5x)(4x^2+1), (5x)*(4x^2+1), (4x^2+1)(5x), (4x^2+1)*(5x)

Question: Factor the polynomial. Use the caret (^) to enter exponents. For example, enter x2 as x^2.

20x3 + 5x

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 5x(4x2 + 1).

Question 10b of 10 ( 3 Factoring Polynomials 245551 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 5x(5x^2 + 1), 5x*(5x^2+1), (5x)(5x^2+1), (5x)*(5x^2+1), (5x^2+1)(5x), (5x^2+1)*(5x)

Question: Factor the polynomial. Use the caret (^) to enter exponents. For example, enter x2 as x^2.

25x3 + 5x

Attempt Incorrect Feedback

1st

Correct Feedback

Global Incorrect Feedback

The correct answer is: 5x(5x2 + 1).

Question 10c of 10 ( 3 Factoring Polynomials 245552 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: 5x(8x^2 + 1), 5x*(8x^2+1), (5x)(8x^2+1), (5x)*(8x^2+1), (8x^2+1)(5x), (8x^2+1)*(5x)

Question: Factor the polynomial. Use the caret (^) to enter exponents. For example, enter x2 as x^2.

40x3 + 5x

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1st

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Global Incorrect Feedback

The correct answer is: 5x(8x2 + 1).