Factorize each of the following polynomials.
x3 – 7x + 6
Given,
x3 – 7x + 6,
put x = 1
then, 1 – 7 + 6 = 0
since, this equation is divisible by (x – 1).
according to the question,
x3 – 7x + 6 = (x – 1)(x2 + x – 6)
= (x – 1)[x2 + 3x – 2x – 6]
= (x – 1)[x(x + 3) – 2(x + 3)]
= (x – 1)(x – 2)(x + 3)
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