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Question
Find the value of a, if (x-a) is a factor of x3- a2x + x+ 2
Find the value of a, if (x-a) is a factor of x3- a2x + x+ 2
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Solution
x-a is a factor.
So it satisfies x=a
F(x)=x³-a²+x+2
f(a)=a³-a²+a+2
= a+2=0
=>a=-2
So it satisfies x=a
F(x)=x³-a²+x+2
f(a)=a³-a²+a+2
= a+2=0
=>a=-2
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