# P(x) = x^4-2x^3-13x^2+14x+50

i'm so confused how to get the factors using synthetic division and how to graph it as well.

Answers: 3

## Answers

P(x) = x^4-2x^3-13x^2+14x+50i'm so confused how to get the factors using synthetic division and how...

answer:

(x+1) (x-3) (x-4)

Ayan na

x3+x2−14x−2=(x+2)(x+3)(x−4)

Explanation:

We start from the given 3rd degree polynomial

x3+x2−14x−24

Use the monomial

−14x

It is equal to

−4x−10x3+x2−4x−10x−24

Rearrange

x3−4x+x2−10x−24

Regroup

(x3−4x)+(x2−10x−24)

Factoring

x(x2−4)+(x+2)(x−12)x(x+2)(x+2)+(x+2) (x−12)

Factor out the common binomial factor

(x+2) (x+2) [x (x−2) + (x−12)]

Simplify the expression inside the grouping symbol [ ]

(x+2) [x2−2x+x−12](x+2) (x2-x−12)

Factoring the trinomial

x2−x−12 = (x+3) (x−4)

We now have the factors

(x+2) (x+3) (x−4)

Final answer

x3+x2−14x−24= (x+2) (x+3) (x−4)

God bless I hope the explanation is useful