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AleksandrR [38]
3 years ago
5

F(x) = 4x – 2 g(x) = -3x2 – 7x + 4 Find: f(x) · g(x) HeLP

Mathematics
1 answer:
notka56 [123]3 years ago
5 0

Answer:

\large\boxed{f(x)\cdot g(x)=-12x^3-28x^2+30x-8}

Step-by-step explanation:

f(x)=4x-2\\\\g(x)=-3x^2-7x+4\\\\f(x)\cdot g(x)=(4x-2)\cdot(-3x^2-7x+4)\\\\\text{Use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\f(x)\cdot g(x)=(4x)(-3x^2)+(4x)(-7x)+(4x)(4)\\+(-2)(-3x^2)+(-2)(-7x)+(-2)(4)\\\\f(x)\cdot g(x)=-12x^3-28x^2+16x+6x^2+14x-8\\\\\text{Combine like terms}\\\\f(x)\cdot g(x)=-12x^3+(-28x^2+6x^2)+(16x+14x)-8\\\\f(x)\cdot g(x)=-12x^3-28x^2+30x-8

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I would convert them all to the denominator 16, due to the smallest fraction and all of them can be converted to it.

1 = 16/16
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