Question

please help me to solve this question.
Please have a step by step explanation.​

Answer 1

Answer:

HCF = (x+2)(x+5)

(x+2)(x+5) should be factor of (x+2)(x2+6x+a) hence by reminder theorem (x+5) can be factor of (x2+6x+a) only if x=-5.

=> (-5)2 + (6 x -5) + a = 0

=> 25 – 30 + a = 0

=> -5 + a = 0

=> a = 5.

(x+2)(x+5) should be factor of (x+5)(x2+8x+b) hence by reminder theorem (x+2) can be factor of (x2+8x+b) only if x=-2.

=> (-2)2 + (8 x -2) + b = 0

=> 4 – 16 + b = 0

=> -12 + b = 0

=> b = 12.

Step-by-step explanation:

may this helps you......