Math, asked by mdnasar041976, 8 months ago

factorize the 15xsquare+7x+2​

Answers

Answered by Anonymous
19

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15x ^{2}  + 7x + 2

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==》Use an AC method: Find apair of factors of AC= 15 . 2 = 30 which differ by B = 7.

==》The pair 10, 3 works.

==》Use this pair to split the middle term then factor by grouping as follows:

15 {x}^{2}  + 7x + 2 \\  \\  = 15 {x}^{2}  + 10x - 3x + 2 \\  \\  =  (15 {x}^{2}  + 10x) - (3x + 2) \\  \\  = 5x(3x + 2) - 1(3x + 2) \\  \\  = (5x - 1)(3x + 2)

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