Question

If x2+x-12 divides p(x)= x3 + ax2 + bx - 84 exactly , find 'a' and 'b' .

Answer 1

Answer: Have a look at the picture:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Question :-

If x² + x - 12 divides f(x) = x³ + ax² + bx - 84 exactly. find a and b.

Given :-

The equation  x² + x - 12 divides the equation x³ + ax² + bx - 84 exactly.

To Find :-

Value of a and b.

Solution :-

The equation  x² + x - 12 divides the equation x³ + ax² + bx - 84 exactly.

Therefore, we have the remainder equals to 0.

On Dividing, the given equation by x² + x - 12, we get  

(a - 8)x² + (b + 5)x = 0

On comparing the equation with the given equation, we get

a = 8 and b = -5

Hence, the values of a and b are 8 and -5.