Question

if a and b are the remainders when the polynomials y cube + 2y square -5ay - 7 and y cube + ay square-12y+6 are divided by y+1 and y-2 respectively.if 2a +b =6 find value of a

Answer 1

Answer:

Put divisor is 0

x+a=0

x=−a

p(x)=x

3

+ax

2

+2x+a

putting x=−a

p(−a)=(−a)

3

+a(−a)

2

+2(−a)+a=−a