How do you factor #20x ^ { 2} - 43x - 33#?
2 Answers
Jul 23, 2017
Explanation:
Jul 23, 2017
(5x + 3)(4x - 11)
Explanation:
Methodically factor the trinomial by the new AC method (Socratic, Google Search).
Converted trinomial
Proceeding: find p' and q', then, divide them a = 20, to get p and q.
Find p' and q', that have opposite signs (ac < 0), knowing the sum (b = -43) and the product (ac = - 660). Compose factor pairs of (-660) --> .... (6, - 110)(12, -55). This last sum is (- 43 = b).
Then, p' = 12 and q' = - 55. Back to original f(x):
Factored form: