Question

If (x - 2) is factor of x
3
+ 9x
2
+ bx + 16 and b =4a then find value of a and b.​

Answer 1

Step-by-step explanation:

If (x−2) is a factor then 2 is a root of polynomial.

x

3+ax

2+bx+16

(2)

3+a(2)

2+b(2)+16=0

8+4a+2b+16=0

4a+2b+24=0

2a+b+12=0 -----(i)

Given b=4a

2a+4a+12=0

6a+12=0

a=−2 and b=4(−2)

a=−2;b=−8