Question

find the value of a² if remainder is same when f(x)=x²+8x²+15x +ax-6 is divided by (x+2) or (x+1)​

Answer 1

Answer:

144

Step-by-step explanation:

Remainder when a quadratic ax^2+bx+c is divided by a linear polynomial x-n is an^2+bn+c

that is you have to substitute the zero of linear polynomial in the quadratic to get the remainder

in given question, remainder when the quadratic is divided by X+2 is -2a and remainder when the quadratic is divided by X+1 is -12-a

given both are equal so -2a=-12-a

a=12

a^2 =144