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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