If (x+2) is a factor of h(x) = x^3 + 8x² + Ax + 4 , then valoe of A is:

Mathematics

1 answer:

kherson [118]4 years ago

8 0

If $x+2$ is a factor of $h(x)$ , then by the polynomial remainder theorem, $h(-2)=0$ . So

$h(-2)=(-2)^3+8(-2)^2+A(-2)+4$

$-8+32-2A+4=0\implies2A=28\implies A=14$

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