How do you write P(x) = x^3 − 7x^2 + 14x − 8 in factored form?

1 Answer
Konstantinos Michailidis
Sep 17, 2015

It is P(x)=(x-1)(x-2)(x-4)

Explanation:

You check if the factors of the constant term -8 are roots of the polynomial.In our case the following factors 1,2,4 are roots of the polynomial hence

P(x)=(x-1)(x-2)(x-4)

Another way is to analyzed it into a product of two polynomials as follows

P(x)=(x+a)*(x^2+bx+c)

and you have to find values of a,b,c

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