Question

determine the value of a for which x-2 is the factor of the polynomial 4x^4-ax^
​

Answer 1

Step-by-step explanation:

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