Check whether the g(x) =x-2 is a factor of p(x) =2x4 - 12x3 +18x + 14
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g(x)= x-2
g(x)= x-2=0
g(x)= x= 2
it is given that,
factor of p(x) =2x*4-12x*3+18x+14
= 2(2)*4 - 12(2)*3 + 18(2) + 14
= 2(16) - 12(8) + 18(2) + 14
= 32 - 96 + 36+ 14
= 82 - 96
= -14
-14 is not equal to zero .
so the value of x -2 is equal to the factor 2x*4 -12x*3+18 x +14
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