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Multiply a Polynomial by a Monomial Honors Math – Grade 8

Multiply a Polynomial by a Monomial Honors Math – Grade 8

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Page 1: Multiply a Polynomial by a Monomial Honors Math – Grade 8

Multiply a Polynomial by a MonomialHonors Math – Grade 8

Page 2: Multiply a Polynomial by a Monomial Honors Math – Grade 8

Simplify )42(3 24322 abbaba

Page 3: Multiply a Polynomial by a Monomial Honors Math – Grade 8

Simplify )74(5 72443 yxyxyx

Page 4: Multiply a Polynomial by a Monomial Honors Math – Grade 8

Simplify2

33

20

3)5(40

xyxyyx

Page 5: Multiply a Polynomial by a Monomial Honors Math – Grade 8

Simplify

)74()(2 322322 uvvuvuvuvuuv

Page 6: Multiply a Polynomial by a Monomial Honors Math – Grade 8

GEOMETRY Express the area of the triangle as a monomial.

4ab5

3a4b

bhArea2

1

)3)(4(2

1 45 baabA

))()(342

1( 54 bbaaA

656 baA

Formula for area of a square.

Replace b and h with 4ab5 & 3a4b

Group the coefficients and the variables.

Product of Powers

The area of the triangle is 6a5b6 square units.

Page 7: Multiply a Polynomial by a Monomial Honors Math – Grade 8

GEOMETRY Express the area of the circle as a monomial.

2rArea 24 )7( xA

242 ))(7( xA

8154xA

Formula for area of a square.

Replace r with 7x4

Group the coefficients and the variables.

Product of Powers

The area of the circle is 154x8 square units.

7x4

7

2214.3 ))(49(

7

22 8xA

)49( 8xA

Page 8: Multiply a Polynomial by a Monomial Honors Math – Grade 8

GEOMETRY Write a polynomial in simplest form to express the shaded area.

5x + 2y

3x-3y

x 3x

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