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AveGali [126]
2 years ago
5

Determine whether the binomial is a factor of f(x). f(x) = x3 + 11x2 + 24x - 36; x - 4

Mathematics
1 answer:
attashe74 [19]2 years ago
8 0
If it is, then f(4) would be equal 0.

f(4)=4^3+11\cdot4^2+24\cdot4-36\\
f(4)=64+11\cdot16+96-36\\
f(4)=124+176\\
f(4)=300\not =0 \Rightarrow \text{ it isn't}
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Sphinxa [80]
f(x)=\frac{x-8}{x+7} \\
g(x)=\frac{-7x-8}{x-1} \\ \\
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g(f(x))=\frac{-7(\frac{x-8}{x+7})-8}{\frac{x-8}{x+7}-1}=\frac{\frac{-7(x-8)}{x+7}-\frac{8(x+7)}{x+7}}{\frac{x-8}{x+7}-\frac{1(x+7)}{x+7}}=\frac{\frac{-7x+56}{x+7}-\frac{8x+56}{x+7}}{\frac{x-8}{x+7}-\frac{x+7}{x+7}}= \\
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