Factor the expression 5x^2-18x+9

(5x-3) (x-3)

Step-by-step explanation:

For a polynomial of the form

ax2+bx+c, rewrite the middle term as a sum of two terms whose product is

a⋅c=5⋅9=45 and whose sum is b=-18.

5x2-3x-15x+9

Factor out the greatest common factor from each group.

x (5x-3) - 3 (5x-3)

Factor the polynomial by factoring out the greatest common factor, 5x-3.

(5x-3) (x-3)