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Mathematics
Camille Banks
19 April, 20:31
Factor the polynomial.
13x² - 20x - 12
+3
Answers (
1
)
Aliya Reese
19 April, 23:10
0
(13 x + 6) (x - 2)
Step-by-step explanation:
Factor the following:
13 x^2 - 20 x - 12
Factor the quadratic 13 x^2 - 20 x - 12. The coefficient of x^2 is 13 and the constant term is - 12. The product of 13 and - 12 is - 156. The factors of - 156 which sum to - 20 are 6 and - 26. So 13 x^2 - 20 x - 12 = 13 x^2 - 26 x + 6 x - 12 = x (13 x + 6) - 2 (13 x + 6):
x (13 x + 6) - 2 (13 x + 6)
Factor 13 x + 6 from x (13 x + 6) - 2 (13 x + 6):
Answer: (13 x + 6) (x - 2)
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