Question

Can anybody help me with the Theorems About Roots of Polynomial Equations Practice assignment? (Connections- Unit 6 Lesson 5)

Answer 1

please post the question

Answer 2

Okay @rsadhvika there are a few but here is the first one. Use the Rational Root Theorem to list all possible rational roots for the equation. 3x^3+9x-6=0

Answer 3

First, list all the numbers that divide evenly into 6

Answer 4

you first look at the last number
3x^3+9x-6=0
which is 6 (ignoring the minus sign)

now you need to list all the numbers that divide into 6
for example: 1 divides into 6 (1 always divides evenly , so you will always get a 1)
what other numbers divide into 6?

Answer 5

3 and 2 @phi

Answer 6

ok, and one more: 6 divides into 6 evenly
so you have four numbers
1,2,3,6

now do the same for the 3 (the leading number in the "highest term" 3 x^2)

Answer 7

**now do the same for the 3 (the leading number in the "highest term" 3 x^3 )