Determine The Value Of a So That When P(x)=(a2)(x3)3ax+1 Is Divided By x2 There Is No Remainder. Help, Please?

1 Answer
Mar 2, 2018

when divided by x2, there is no remainder, hence x=2 is the solution.

That is, when you plug in x=2 in a2x33ax+1, it would be equal to 0.

23a23(2)a+1=0

8a26a+1=0

8a24a2a+1=0

4a(2a1)1(2a1)=0

(4a1)(2a1)=0

Therefore, a=12or14