Given $f (x) = x + 2$ $f(x) = x +2$ and $g (x) = 2 x^{2} - 4 x + 2$ $g(x)= 2x^2-4x+2$ , how do you find $f (x) \cdot g (x)$ $f(x)*g(x)$ ?

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Answer 1 · 2017-03-06T13:53:34

$2 x^{3} - 6 x + 4$ $2x^3-6x+4$

You would perform the following operation:

$f (x) \cdot g (x) = (x + 2) \cdot (2 x^{2} - 4 x + 2)$ $f(x)* g(x)=(x+2)*(2x^2-4x+2)$

Then let's multiply term by term the given polynomials and get:

$2x^3cancel(-4x^2)+2xcancel(+4x^2)-8x+4$

Then let's sum the like terms and get:

$2x^3-6x+4$

Given f(x) = x +2f(x)=x+2f(x) = x +2 and g(x)= 2x^2-4x+2g(x)=2x2−4x+2g(x)= 2x^2-4x+2, how do you find f(x)*g(x)f(x)⋅g(x)f(x)*g(x)?