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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Multiplying Polynomials

Finish the assignment

Continue to next subchapter

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