Question

Find the value of a if ( x - a ) is a factor of the polynomial x⁴-a²x²+3x-6a.

No copied answer.​

Answer 1

Answer:

a=0

Step-by-step explanation:

If (x-a) is factor of polynomial f(x)=x⁴-a²x²+3x-6a

So, x-a=0

x=a

Put value in f(x)   , because x-a  is factor then f(a)=0

f(a)=0

a⁴-a²*a²+3a-6a=0

a⁴-a⁴+3a-6a=0

-3a=0

a=0