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Mathematics
Dillan Le
3 May, 09:06
Factor 20x^2+15x-35 you must show your work
+3
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Adrianna Randall
3 May, 11:56
0
5 (x - 1) (4 x + 7)
Step-by-step explanation:
Factor the following:
20 x^2 + 15 x - 35
Factor 5 out of 20 x^2 + 15 x - 35:
5 (4 x^2 + 3 x - 7)
Factor the quadratic 4 x^2 + 3 x - 7. The coefficient of x^2 is 4 and the constant term is - 7. The product of 4 and - 7 is - 28. The factors of - 28 which sum to 3 are - 4 and 7. So 4 x^2 + 3 x - 7 = 4 x^2 + 7 x - 4 x - 7 = 7 (x - 1) + 4 x (x - 1):
5 7 (x - 1) + 4 x (x - 1)
Factor x - 1 from 7 (x - 1) + 4 x (x - 1):
Answer: 5 (x - 1) (4 x + 7)
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