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Remainder Theorem

The factors o...

Question

The factors of $6 x^{2} - x - 15$ are $(2 x + 3)$ and _____

(3 x - 5)

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(3 x + 5)

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(5 x - 3)

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(2 x - 3)

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Solution

The correct option is C $(3 x - 5)$
$6 x^{2} - x - 15$
= $6 x^{2} - 10 x + 9 x - 15$
= $2 x (3 x - 5) + 3 (3 x - 5)$
= $(2 x + 3) (3 x - 5)$
Then other factor is $(3 x - 5)$

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