Question

Factor completely and then place the factors in the proper location on the grid. 25a 2 - 30a + 9

Answer 1

(5a-3)(5a-3)

Explanation:

This will be a perfect square trinomial. To factor, we take the square root of the first term and the last term:

√25a² = 5a

√9 = 3

Since it is in the form ax²-bx+c, both binomials will be subtraction; this makes the factors

(5a-3)(5a-3)

To double check, multiply back through:

5a(5a)-3(5a)-3(5a)-3(-3)

25a²-15a-15a--9

25a²-30a+9

Answer 2

25a^2 - 30a + 9 = 0 can be factorised into:
(5a - 3)(5a -3) = 0
This equation has a repeated root with coordinates (3, 0)