Question

Order the steps to factor the quadratic trinomial completely.

Answer 1

The order is: 1, 4, 3, 5, 6

Explanation:

5(5x² - 9x) = 45x + 40

25x² - 45x = 45x + 40

25x² - 90x - 40 = 0

5(5x² - 18x - 8) = 0

5(x(5x + 2) - 4(5x + 2)

5(x - 4)(5x + 2)

The order is: 1, 4, 3, 5, 6

Answer 2

1, 4, 3, 5, 6

Explanation:

5(5x² - 9x) = 45x + 40 ← distribute parenthesis on left side

25x² - 45x = 45x + 40 ← subtract 45x + 40 from both sides

25x² - 90x - 40 = 0 ← factor out 5 from each term

5(5x² - 18x - 8) = 0

5(x(5x + 2) - 4(5x + 2))

5(x - 4)(5x + 2)