Find the value of a, if (x-a) is a factor of x-a2x + x +2.
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Step-by-step explanation:
p(x)=x-a2x+x+2
g(x)=x-a
0=x-a
x=a
now,
p(x)=x-a2x+x+2
0=a-a2×a+a+2
0 =2a-2a^2+2
-2(a^2-a-2)=0
a^2-a-2=0
a^2+a-2a-2=0
a(a+1)-2(a+1)=0
(a-2)(a+1)=0
a-2=0
a=2 ans...
and
a+1=0
a=-1 ans.
hope it helps..
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