Question

use the rational root theorem to list all possible rational roots of the polynomial equation x^3-x^2-3=0 DONT FIND THE ACTUAL ROOTS

Answer 1

Okay so first is what is a Rational Root Theorem?

Do you know q and p?
q is the leading coefficient and p is the last coefficient.

Find the factors of each and divide each p with each q

Answer 2

No..

Answer 3

Follow the steps...
x^3-x^2-3=0
1. Find the factors of p (3) - the last digit/coefficient
2. Find the factors of q (1) - the number in front of the first x
3. Divide each p factors with 1 factors (1/1 and 3/1)
4. Evaluate

Answer 4

I am confused..

Answer 5

Okay... Wanna go over step by step?

Answer 6

Rational Root Theorem tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.

Answer 7

Just remember that the last term, which in this case is -3 is P

Answer 8

and the first term, which in this case is 1 because the first term is only x is Q

Answer 9

Step by step?

Answer 10

Sorry if I a taking time.. I am helping 10 people at once.

x^3-x^2-3=0

3 is p
1 is q

factors of 3: 1, 3
factors of 1: 1

(+-) 1/1 and 3/1

With these numbers, use the "Synthetic Division" to find which of these two is a possible rationale root of the polynomial.

Answer 11

What is synthetic division