Given that f(x) = x2 + 4x – 21 and g(x) = x – 3, find f(x) · g(x) and express the result in standard form.

Question

Given that f(x) = x2 + 4x – 21 and g(x) = x – 3, find f(x) · g(x) and
express the result in standard form.

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niczorrrr 4 years 2021-08-03T11:59:24+00:00 1 Answers 5 views 0

Answers ( )

  1. thaiduong
    0
    2021-08-03T12:00:39+00:00
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    9514 1404 393

    Answer:

      (f·g)(x) = x^3 +x^2 -33x +63

    Step-by-step explanation:

    The product of the two functions can be found using the distributive property.

      f(x)\cdot g(x)=(x^2+4x-21)\cdot(x-3)\\\\=(x^2+4x-21)(x)+(x^2+4x-21)(-3)\\\\=x^3+4x^2-21x-3x^2-12x+63\\\\\boxed{(f\cdot g)(x)=x^3 +x^2-33x+63}

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