Evaluate f(x)⋅g(x) by modeling or by using the distributive property. f(x)=(−3x+2) and g(x)=(2x^{2}−5x−1)

Suman Cole 2020-10-18 Answered
Evaluate f(x)⋅g(x) by modeling or by using the distributive property.
f(x)=(3x+2)andg(x)=(2x25x1)
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Expert Answer

Jayden-James Duffy
Answered 2020-10-19 Author has 91 answers

Let's use the distributive property.
f(x)g(x)=(3x+2)(2x25x1)=(3x+2)×2x2(3x+2)×5x(3x+2)×1=3x×2x2+2×22(3)x×5x2×5x(3)x×12×1=(32)x3+4x2+(3×5)x210x+3x2=6x3+4x2+15x210x+3x2=6x3+(4+15)x2+(10+3)(x2)
x=6x3+19x27x2

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