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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Multiplying Polynomials

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Exercise 28 Page 25

Apply the Distributive Property.

5x^4+19x^3-34x^2+11x-1

Practice makes perfect

We want to simplify the expression by finding the product of the trinomials. To do so, we will apply the Distributive Property.

( x^2+5x-1 )( 5x^2-6x+1 )

Distribute ( 5x^2-6x+1 )

x^2( 5x^2-6x+1 )+5x( 5x^2-6x+1 )-1( 5x^2-6x+1 )

Distribute x^2

5x^4-6x^3+x^2+5x( 5x^2-6x+1 )-1( 5x^2-6x+1 )

Distribute 5x

5x^4-6x^3+x^2+25x^3-30x^2+5x-1( 5x^2-6x+1 )

Distribute -1

5x^4-6x^3+x^2+25x^3-30x^2+5x-5x^2+6x-1

Add and subtract terms

5x^4+19x^3-34x^2+11x-1

Subchapter links

Exercises p.25-27