Question

$2m ^{2} + 5m - 3$
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Answer 1

2m² + 5m - 3

__________ [ GIVEN ]

We have to find factors of it.

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→ 2m² + 5m - 3

Here .. 2m² + 5m - 3 is in the form ax² + bx - c.

We have to find factors of it such that it's sum came 'b' and product came 'c'.

→ 2m² + 6m - m - 3

Here .. sum of (+6) and (-1) is (-5) and product of (+6) and (-1) is (-6)

→ 2m(m + 3) -1(m + 3)

→ (2m - 1) (m + 3)

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(2m - 1) and (m + 3) are the factors of 2m² + 5m - 3

_________ [ ANSWER ]

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Answer 2

2m^2 + 5m - 3

2m^2 + 6m - m - 3

2m (m + 3) -1 (m + 3)

(2m - 1) (m + 3)