Question

(d) g(x) = x3 – 2x2 – 5x + 6. find X
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Answer 1

Step-by-step explanation:

Let f(x)=x^3−2x^2−5x+6

⇒f(1)=1^3−21^2−5×1+6=1−2−5+6=0

Using synthetic division, we have

x^2−x−6=0 is the other factor

(x−1)(x^2−x−6)=0

=(x−1)(x^2−3x+2x−6)=0

=(x−1)(x(x−3)+2(x−3))=0

=(x−1)(x+2)(x−3) are the factors of f(x)