Question

Find a and b if (x+1) and (x+2) are factor of polynomial
x3+3x2-2ax+b

Answer 1

Answer:a=7

B=6

Step-by-step explanation:

X-1

X=1

X^3+3×2-2ax+B

(1)^3+3×2-2a(1)+B

1+3×2-2a+B

4×2-2a+B eq ...1

X-2

X=2

(2)^3+3×2-2a(2)+b

8+3×2-2a+B

11×2-4a+B eq...2

Subtacting from2to1

8-2a+b=0

22-4a+b=0

(-) (+) (-)

-14+2a=0

2a=14

A=14/2=7

Now put the value of a in eq 1

8-2a+b=0

8-2(7)+b=0

8-14+b=0

-6+b=0

B=6 answer: a=7, b=6

Answer 2

Answer:

a = 7

Step-by-step explanation:

b = 6

above explanation is perfect

thank you