Question

if x+a is a factor of a x 3 +x2 - 2x + 4y - 9 then find the value of a... please answer this! i will mark your answer as brainlist answer
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Answer 1

Answer:

a = 2

Step-by-step explanation:

Let f(x) = ax^3 + x^2 - 2x + 4y - 9

Here,

x + a is a factor of f(x).

Then, By factor theorem,  f(-a) = 0.

=> a(-1)^3 + (-1)^2 - 2(-1) + 4(-1) - 9 = 0

=> -a + 1 + 2 - 4 - 9 = 0

=> a = 6/3

=> a = 2

Hence, the value of a = 2.

Hope this helps!

Answer 2

Answer:

$\huge\mathbb\orange{Solution..}$

Here (x+a) is a factor.

Let f(x) =ax^3+x^2-2x+4y-9.

By factor theorem, f(-a) =0

or, a(-1)^3+(-1)^2-2(-1)+4(-1)-9=0

or, a×-1+1+2-4-9=0

or, a=6/3

So, a =2

Hope it helps you ❤❤❤