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

1 Answer

Answer:

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#