Answer :
Answer:
both (x - 5) and (x - 3) are factors of x^2 - 2x + 15
Step-by-step 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.
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