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