Question

Which of the following best describes the relationship between (x-5) and the polynomial 2x^2-7x-15?

Answer 1

Explanation:

he or she is correct

Answer 2

ANSWER


`x - 5`
is a factor of


`p(x) = 2 {x}^(2) - 7x - 15`

EXPLANATION

Set


`x - 5 =0`



`\Rightarrow \: x = 5`

Find


`p(5)`


`p(5) = 2 ({5})^(2) - 7(5) - 15`


`p(5) = 2 * 25 - 7(5) - 15`


`p(5) = 50 - 35- 15`


`p(5) = 15- 15`


`p(5) = 0`

Since


`p(5) = 0`


`x - 5`
is a factor of


`2 {x}^(2) - 7x - 15`