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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 30 Page 25

Apply the Distributive Property.

18z^5-15z^4-18z^3-14z^2+24z+8

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.

( 6z^2-5z-2 )( 3z^3-2z-4 )

Distribute ( 3z^3-2z-4 )

6z^2( 3z^3-2z-4 )-5z( 3z^3-2z-4 )-2( 3z^3-2z-4 )

Distribute 6z^2

18z^5-12z^3-24z^2-5z( 3z^3-2z-4 )-2( 3z^3-2z-4 )

Distribute -5z

18z^5-12z^3-24z^2-15z^4+10z^2+20z-2( 3z^3-2z-4 )

Distribute -2

18z^5-12z^3-24z^2-15z^4+10z^2+20z-6z^3+4z+8

Add and subtract terms

18z^5-18z^3-14z^2-15z^4+24z+8

CommutativePropAdd

Commutative Property of Addition

18z^5-15z^4-18z^3-14z^2+24z+8

Subchapter links

Exercises p.25-27