If \ h ( x ) = 3x ^ { 2} - 5x + 4 and f ( x ) = 3x + 2, what is (h *f)(x)?

1 Answer
Kelly
Aug 14, 2017

(h.f)(x)=9x^3-9x^2+2x+8

Explanation:

Multiply each term of h(x) by each term in f(x) (FOIL)
(3x^2)(3x)+(3x^2)(2)-(5x)(3x)-(5x)(2)+4(3x)+4(2)
Calculate the product by multiply the numbers
9x^3+6x^2-15x^2-10x+12x+8
Combine like terms
9x^3-9x^2+2x+8

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