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1. What are the roots of the polynomial: A. -3, -4 B. 6, 2 C. 2, 3 D. 3,4 Code: Set Calculator to equation mode: MODE>5>3 for quadratic equation Mode 3 because our polynomial is a 2nd degree equation.. Input the equation coefficients a,b,c: 1 = -7 = 1 2 = = And you will get the answer.. 2. What are the roots of the polynomial: A. 1,2,3 B. 1,2,5 C. 1,2,4 D. 2,3,5 Code: Set Calculator to equation mode: MODE>5>4 for cubic equation Mode 4 because our polynomial is a 3rd degree equation.. Input the equation coefficients a,b,c: 1 = -7 = 1 4 = -8 = =

Caltech basics.. sample

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Caltech sample for simple Mathematics...

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Page 1: Caltech basics.. sample

1. What are the roots of the polynomial:

A. -3, -4

B. 6, 2

C. 2, 3

D. 3,4

Code:

Set Calculator to equation mode: MODE>5>3 for quadratic equation

Mode 3 because our polynomial is a 2nd degree equation..

Input the equation coefficients a,b,c:

1 = -7 = 1 2 = =

And you will get the answer..

2. What are the roots of the polynomial:

A. 1,2,3

B. 1,2,5

C. 1,2,4

D. 2,3,5

Code:

Set Calculator to equation mode: MODE>5>4 for cubic equation

Mode 4 because our polynomial is a 3rd degree equation..

Input the equation coefficients a,b,c:

1 = -7 = 1 4 = -8 = =

Page 2: Caltech basics.. sample

And you will get the answer..

3. Which of the following is a possible root of the polynomial:

A. 3

B. 0

C. -2

D. 4

Code:

NOTE: A root is any value that, when substituted to the variable(ie x), will satisfy the equation.(In our equation 0=0 )

Set the calculator to computation mode: MODE>1

Input ONLY the left side of the equation.

Trial and error, Use the CALCU function..

Pag nagtanong ang calculator X? iinput ang mga choices..

X? 3 =

output is 240..

repeat the step until you get an output of 0..

And you will get the answer..

4. Find the value of x and y in the following equations:

A. -12/19, 16/19

B. -24/19, -22/19

C. 12/19, -16/19

D. 24/19, 22/19

Page 3: Caltech basics.. sample

Code:

Set calculator to equation mode: MODE>5>1 for two-variable equation.

Input the coefficients of a,b and constant c of the first equation:

2 = 3 = 6 =

Input the coefficients of a,b and constant c of the second equation:

-3 = 5 = 2 =

Press the = to get the value of x and press again to get the value of y..

And you will get the answer..

5. The equation has two rational roots, both of which are positive. Find the larger of these two roots.

A. 1

B. 2

C. 3

D. 4

Code:

Same method with number 3..We will be using CALCU function..The calculator should display 0..

And you will get the answer..

6. What is the remainder of the polynomial when divided by

A. 208

B. 218

C. 283

D. 305

Page 4: Caltech basics.. sample

Code:

Set the calculator to computation mode: MODE>1

Input the left side of the equation

Apply the Remainder theorem

Use CALCU function and substitute x=5

And you will get the answer..

7. Solve the values of y in the system of equations:

Code:

Set the calculator to equation mode: MODE>5>2

Input the coefficients a,b and constant c of the first, second and third equation..

Press the equal = button twice to get the value of y..

And you will get the answer..

8. Solve for the value of

A. 2

B. 2i

C. -2

D. -2i

Code:

Set the calculator to computation mode: MODE>1

Input the equation in the calculator(as is)..

and you will get the answer..

9. Solve for the value of

Page 5: Caltech basics.. sample

A. 1.91

B. 2.19

C. 1.19

D. 2.91

Code:

Set the calculator to computation mode

Input the equation in the calculator(as is)

And you will get the answer..

10. Solve for the value of x in the equation:

A. 1.91

B. 1.19

C. 1.46

D. 2.13

Code:

Set the calculator to computation mode

Input the equation and use the SOLVED function to get the value of x..

To get the SOLVED function, SHIFT>CALCU>=

It should display,

X= answer

L-R= 0 (important, must be 0)

And you will get the answer..