Question

5x^2-18x+9

Answer 1

What are you asked to do?

Answer 2

factor it

Answer 3

Factor the following:
5 x^2-18 x+9
Factor 5 x^2-18 x+9 by finding factors of 5×9 whose sum is -18.
Factor the quadratic 5 x^2-18 x+9. The coefficient of x^2 is 5 and the constant term is 9. The product of 5 and 9 is 45. The factors of 45 which sum to -18 are -3 and -15.
So 5 x^2-18 x+9 = 5 x^2-15 x-3 x+9 = 5 x (x-3)-3 (x-3):
5 x (x-3)-3 (x-3)
Factor common terms from 5 x (x-3)-3 (x-3).
Factor x-3 from 5 x (x-3)-3 (x-3):
Answer:
(x-3) (5 x-3)