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Let f(x) = x2 + 3x - 4 and g(x) = x + 5. Find f(x) · g(x).
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just multiply (x^2+3x-4)*(x+5)
?
x^3+5x^2+3x^2+15x-4x-20 x^3+8x^2+11x-20
\[x^{3}+8x^{2}+11x-20?\]
\(f(x)=x^2+3x-4\\ g(x)=x+5\) \(f(x)\times g(x)=(x^2+3x-4)(x+5)=\) \(=x^3+5x+3x^2+15x-4x-20\\ =\color{blue}{x^3+3x^2+16x-20}\)
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You have to distribute each of the terms individually.
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