Question

Determine tha value of a for which the polynomial 2x^4-ax^3+4x^2+1

Answer 1

Answer:

By factor theorm, if x−a is a factor of polynomial P(x), then P(a)=0.

If 2x

2

+ax

3

+4x

2

−x+2 is divisible by 2x+2 then the polynomial must be zero at x=−1

∴2(−1)

4

+a(−1)

3

+4(−1)

2

−(−1)+2=0

⇒2+4−a+1+2=0

⇒

a=9