Question

Factors of
${x}^{3} - 6 {x}^{2} + 11x - 6$
Please type step by step​

Answer 1

Step-by-step explanation:

first we find our first rule by hit and trial because we don't have any specific method to find the roots of cubic eq.

when we put X=1 it satisfies the eq hence (x-1)is a factor of the polynomial.

now we devide our eq by (x-1)

on deviding we get x2-5x+1 as a quotient.

now we know that

Dividend =quotient×divisor +r

x3-6x2+11x-6=(x-1)(x2-5x+1)

now factorise x2-5x+1 and you will get your answer.

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