McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
3. Multiplying Polynomials
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Exercise 31 Page 25

2m^3+5m^2-4

Practice makes perfect
To simplify the expression, we will first add the trinomials. Then we will apply the Distributive Property.
(m+2)[ (m^2+3m-6)+(m^2-2m+4) ]
(m+2)( m^2+3m-6+m^2-2m+4 )
(m+2)( 2m^2+m-2 )
m( 2m^2+m-2 )+2( 2m^2+m-2 )
2m^3+m^2-2m+2( 2m^2+m-2 )
2m^3+m^2-2m+4m^2+2m-4
2m^3+5m^2-4