Factorize $4 x^{2} + 23 x + 15$ .

x = \frac{3}{4}, 5

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x = \frac{- 3}{4}, - 5

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x = \frac{- 3}{4}, 5

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x = \frac{3}{4}, - 5

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Solution

The correct option is A $x = \frac{- 3}{4}, 5$
We have, $4 x^{2} + 23 x - 15$

$= 4 x^{2} - 20 x + 3 x - 15$

$= 4 x (x - 5) + 3 (x - 5)$

$= (4 x + 3) (x - 5)$

$x = \frac{- 3}{4}, x = 5$

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Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x)

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