Find a factor of 20x^2+ 27x + 9

20x^2 + 27x + 9

1. Split the second term in 20x^2 + 27x + 9 into two terms.

1. Multiply the coefficient of the first term by the constant term.
20 * 9 = 180

2. Ask: Which two numbers add up to 27 and multiply to 180?
15 and 12

3. Split 27x as the sum of 15x and 12x.
20x^2 + 15x + 12x + 9

20x^2 + 15x + 12x + 9

2. Factor out common terms in the first two terms, then in the last two terms.
5x(4x + 3) + 3(4x + 3)

3. Factor out the common term 4x + 3.
(4x + 3)(5x + 3)

So therefore your answer is (4x + 3)(5x + 3)