if s(x)=x-7 and t(x) =4x^2+3 which expression is equivalent to (t×s)(x)

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jordyttt

Middle School

if s(x)=x-7 and t(x) =4x^2+3 which expression is equivalent to (t×s)(x)

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(Based on todays review)

gmany

Answer:
$\large\boxed{(t\times s)(x)=4x^3-28x^2+3x-21}$
Step-by-step explanation:
$s(x)=x-7\\t(x)=4x^2+3\\\\(t\times s)(x)=t(x)\times s(x)\\\\\text{Substitute:}\\\\(t\times s)(x)=(4x^2+3)(x-7)\\\\\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(t\times s)(x)=(4x^2)(x)+(4x^2)(-7)+(3)(x)+(3)(-7)\\\\=4x^3-28x^2+3x-21$
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