Question

Which of the following is a factor of

X^2
- 2x + 15

Select one
X-5
X+3
None of the above
X-3

Answer 1

Given:

f(x) = x² - 2x + 15

Solution:

This function f(x) will have the negative "discriminant" in root ; thus forming complex roots

So this function has no rational roots

∴ None of the above is the right answer .

Answer 2

both (x - 5) and (x - 3) are factors of x^2 - 2x + 15

Explanation:

Please write this all on one line: x^2 - 2x + 15.

Recognize that 3*5 = 15. Possible factors of x^2 - 2x + 15 are thus (x - 5) and (x + 3). Multiplying these together results in x^2 - 2x + 15, so we have verified that both (x - 5) and (x - 3) are factors of x^2 - 2x + 15.