Question

factor 2 X square + 5 x - 18​

Answer 1

2x² + 5x - 18

_________ [ GIVEN ]

• We have to factoise it.

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=> 2x² + 5x - 18.

The above equation in the form ax² + bx + c.

So, we have to find a number whose sum is equal to 'b' i.e. (5) and proudct is equal to 'c' i.e. (-18)

=> 2x² + 5x - 18

=> 2x² - 4x + 9x - 18

=> 2x(x - 2) +9(x - 2)

=> (2x + 9) (x - 2)

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(2x + 9) (x - 2) are the factors of 2x² + 5x - 18.

________________ [ ANSWER]

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Answer 2

$\huge \red{ \boxed{ \bf{ \ulcorner{ \mid{ \overline{ \underline{ANSWER}}}}}\mid }}$

Step-by-step explanation:

As per given

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$= > 2 {x}^{2} + 5x - 18 \\ = > 2 {x}^{2} + 9x - 4x - 18 \\ = > x(2x + 9) - 2(2x + 9) \\ = > (x - 2)(2x + 9)$

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$\\ so \\ = > x = 2 \: \: and \: \: - \frac{9}{2}$