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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 27 Page 25

Apply the Distributive Property.

m^4+2m^3-34m^2+43m-12

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.

( m^2-5m+4 )( m^2+7m-3 )

Distribute ( m^2+7m-3 )

m^2( m^2+7m-3 )-5m( m^2+7m-3 )+4( m^2+7m-3 )

Distribute m^2

m^4+7m^3-3m^2-5m( m^2+7m-3 )+4( m^2+7m-3 )

Distribute -5m

m^4+7m^3-3m^2-5m^3-35m^2+15m+4( m^2+7m-3 )

Distribute 4

m^4+7m^3-3m^2-5m^3-35m^2+15m+4m^2+28m-12

Add and subtract terms

m^4+2m^3-34m^2+43m-12

Subchapter links

Exercises p.25-27