Is the binomial a factor of the polynomial function? f(x)=x^3+2x^2-16x-32
[tex]f(x)=x^3+2x^2-16x-32=x^2(x+2)-16(x+2)=(x+2)(x^2-16)\\\\=(x+2)(x-4^2)\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x+2)(x-2)(x+2)\\\\Answer:\\\\\begin{array}{c|c|c}(x-2)&YES&\\(x+2)&YES&\\(x-4)&&NO\\(x+4)&&NO\\(x+6)&&NO\end{array}[/tex]
Answer:
no
yes
yes
yes
no
Step-by-step explanation:
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