Question

irs an easy math question but i dont know the answer

Answer 1

Answer:

a = 3

Step-by-step explanation:

Given :

(x + 3) is a factor of x³ + ax² + x + 3

Formula :

If (x - a) is a factor of f(x), then by Reminder Theorem, f(a) = 0.

If (x + a) is a factor of f(x), then by Reminder Theorem, f(-a) = 0.

Procedure :

Let f(x) = x³ + ax² + x + 3

(x + 3) = 0

=> x = -3

f(-3) must be = 0.

Hence f(-3) = (-3)³ + a(-3)² + (-3) + 3

=> 0 = (-27) + 9a

=> 9a = 27

Hence a = 3.

Hence (a) a = 3 is the correct answer.

Thanks !