Q1 of 90 Page 31

Determine which of the following polynomials has (x – 1) a factor?

x4 – 2x3 – 3x2 + 2x + 2

We know that (x – 1) will be the factor of the polynomial if by substituting x = 1 in polynomial we get the zero remainder.


∴ by putting x = 1 in x4 – 2x3 – 3x2 + 2x + 2, we get -


(1)4 – 2 (1)3 – 3 (1)2 + 2(1) + 2 = 1 – 2 – 3 + 2 + 2


= 0


⇒ (x – 1) is a factor of x4 – 2x3 – 3x2 + 2x + 2.


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