1.

Determine wheather (x-2) is a factor of x cube - 3x square + 4x - 4​

Answer»

If (x-2) is a FACTOR of the given polynomial, then we must get the value of the polynomial as 0, if we substitute 2 in PLACE of x.

Let

p(x) = x^3-3x^2+4x+4

p(2) = 2^3-3(2^2)+4(2)-4

       = 8 - 12+8-4

       = 16-16 = 0

HENCE (x-2) is a factor of the given polynomial

     



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