Question

– 2 If (x+3) is one of the factors of x
3+2x2-ax-18. Then a=

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

a = 9

Step-by-step explanation:

Here, x+3 is a factor of the given expression. so, x = - 3 is one of its factors.

thus, on dividing the given expression by x + 3, remainder must be 0

So, by using remainder theorem,

$p(x) = {x}^{3} + 2 {x}^{2} - ax - 18 = 0$

by replacing x with -3,

we get

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

thus,

$p( - 3) = - 27 + 18 + 3a - 18 = 0 \\ thus \: 3a = 27$

so,

$a = 9$