A. Find the possible rational zeros of each polynomial function. Then, find the rational zeros.

Question

1. P(x)=x²-7x-6

3. P(x) = 2x³-5x²-22x-15

5. P(x) = 8x³ + 34x²-81x + 18

Answer 1

for ax^2+bx+c, the possible rational roots are ±p/q where
p is a factor of c
q is a factor of a
So, for #3, that makes the list
±1/1, ±3/1, ±5/1, ±15/1, ±1/2, ±3/2, ±5/2, ±15/2
In fact, trying the easy ones first, we get
2x^3 - 5x^2 - 22x - 15
= (x+1)(2x^2-7x-15)
and now you can factor the quadratic as usual.

Answer 2

For questions 3 and 5.

In google pastee:

polynomial factorisation emath help

When you see list of results click on:

Factoring Polynomials Calculator-eMathHelp

When page be open in rectangle Enter a polynomial paste your function and click:
CALCULATE

You will see factirisation step-by-step