Question

Select the correct answer from each drop-down menu. How many solutions does each polynomial have? Equation Number of Solutions y = - 6 ⁢ x − 9 y = 2 ⁢ x 5 − x 4 + 2 ⁢ x 3 − 6 ⁢ x 2 + 2 ⁢ x + 4 y = - 4 ⁢ x 3 − 10 ⁢ x 2 + 7 ⁢ x + 5

Answer 1

1

5

3

in order

Explanation:

First, note that the degree of a polynomial is the value of the highest exponent in the polynomial

There will be as many solutions as there are degrees

1. - 6x − 9y = 2 has degree 1 since x == x¹ so 1 solution

2.
`2x^5-x^4+2x^3-6x^2+2x\:+\:4=0` has degree 5 so 5 solutions

3.
`-4x^3 - 10x^2+7x+5` has degree 3 so 3 solutions