Question

If (x+3) is one of the factors of x
3+2x2-ax-18. Then a=………………….
(b) 3 (b) -3 (c) 9 (d) -9

Answer 1

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Answer 2

Given data:

$(x+3)$ is a factor of $x^{3}+3x^{2}-ax-18$

To find:

The value of $a$

Step-by-step explanation:

Let, $f(x)=x^{3}+2x^{2}-ax-18$

Since $(x+3)$ is a factor of $f(x)$, then

$\quad f(-3)=0$

$\Rightarrow (-3)^{3}+2(-3)^{2}-a(-3)-18=0$

$\Rightarrow -27+18+3a-18=0$

$\Rightarrow 3a=27$

$\Rightarrow a=9$ (divide both sides by 3)

Answer: Option (c) 9

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