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Factor 35x^2-32x-12 please show step by step work

1 Answer

4 votes

Answer:

(5x − 6) (7x + 2)

Explanation:

35x² − 32x − 12

Using AC method:

35 × -12 = -420

Factors of -420 that add up to -32: -42 and 10

Divide by 35 and reduce: -42/35 = -6/5, 10/35 = 2/7

Factors are (5x − 6) and (7x + 2).

35x² − 32x − 12 = (5x − 6) (7x + 2)

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