Find the value of a Given: Let A and B be the remainders when polynomials x3+2x2-5ax-7 and x3+ax2-12x+6 are divided by x+1 and x-2 respectively. If 2A+B=6 , find the value of a.

Question

Let A and B be the remainders when polynomials x³+2x²-5ax-7 and x³+ax²-12x+6 are divided by x+1 and x-2 respectively. If 2A+B=6 , find the value of a.

Comments

please answer anyone............................

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is 'a' and 'A' different ?

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Yes, a and A are different. When we divide the reminder we get A and B will be in terms of "a", so we need to solve for "a" given 2A+B = 6.