Question

If remainder is same when polynomial p(x)=x^3+8x^2+17x+ax .
Find the value of "a".

Answer 1

p(x)= x³ + 8.x² +17.x + a.x

p(1)=1 + 8 + 17 +a

p(2)=8 + 32 + 34+ 2.a

∵Remainders are same

∴26 + a= 74 + 2.a

⇒a=-48