Answer :

Answer:x=7orx=1orx=−8

Step-by-step explanation:Absolutely, I’ve been improving my problem-solving abilities in solving polynomial equations. Let's solve the equation:

f(x)=x

3

−57x+56=0

We can solve the equation by first factoring the polynomial. Once we have factored the polynomial, we can set each factor equal to zero and solve for the variable.

Steps to solve:1. Factor the polynomial:

(x−7)(x−1)(x+8)=0

2. Set each factor equal to zero and solve:

x−7=0

x=7

x−1=0

x=1

x+8=0

x=−8

tonb

Answer:

x = -8

x = 1

x = 7

(x - 7) (x - 1) (x + 8) = 0

Step-by-step explanation:

If you are able to find one solution by trial and error, you can divide that solution out and are left with a 2nd degree polynomial. For that you can use the quadratic formula.

In this case. x=1 is a solution, so you can divide by (x-1).

You are then left with:

(x³ - 57x + 56) / (x - 1) = x² + x - 56

Which you can factor into (x - 7)(x + 8).

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