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$What is (q*c)(x) ? {:[q(x)=2x],[c(x)=-2x^(2)+9x]:} Write your answer as a polynomial or a rational function. ◻$

What is $(q*c)(x) ?$ $\newline$ $q(x) = 2(x)$ $\newline$ $c(x) = -2x^2+ 9x$ $\newline$ Write your answer as a polynomial or a rational function. $\newline$ $\square$

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Write an equation word problem

Full solution

Q. What is

(q*c)(x) ?

\newline

q(x) = 2(x)

\newline

c(x) = -2x^2+ 9x

\newline

Write your answer as a polynomial or a rational function.

\newline

\square

Identify functions: Identify the functions given: $\newline$ $q(x) = 2x$ $\newline$ $c(x) = -2x^2 + 9x$
Multiply functions: Multiply the functions $q(x)$ and $c(x)$ : $(q*c)(x) = q(x) * c(x) = (2x) * (-2x^2 + 9x)$
Distribute terms: Distribute $2x$ across the terms in $c(x)$ : $\newline$ $(2x) \cdot (-2x^2) + (2x) \cdot (9x) = -4x^3 + 18x^2$

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