Question

factorise: 6x square +5x-6

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Answer 1

$\huge\mathfrak\blue{Answer:}$

$\huge\orange{(3x - 2)(2x + 3)}$

Step-by-step explanation:

According to the Q,

$> > {6x}^{2} + 5x - 6$

• Sum = 5
• Product = -6 x 6 = -36

[The 2 Nos: with Sum = 5 and Product = -36 are 9 and -4]

$> > {6x}^{2} + 9x - 4x - 6$

$> > 3x(2x + 3) - 2(2x + 3)$

$\orange {> > (3x - 2)(2x + 3)}$

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Answer 2

${ \bold{ \huge{ \underline{ \green{ ANSWER} }} : - }}$

${ \bold{ \underline{ Given} : - }} \\ \\ { \bold{ \blue{ \: \: \: \: . \: \: a \: \: quadratic \: \: equation \: \implies \:6 {x}^{2} + 5x - 6 = 0 }}} \\ \\ { \bold{ \underline{ To \: \: find } : - }} \\ { \bold{ \blue{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: factorization}}} \\ \\ \\ { \bold{ \huge{ \red{ \underline{solution} : - }}}} \\ \\ { \bold{ \blue{ \implies \: 6 {x}^{2} + 5x - 6 = 0 }}} \\ \\ { \bold{ \blue{ \implies \:6 {x}^{2} + 9x - 4x - 6 = 0 }}} \\ \\ { \bold{ \blue{ \implies \: 3x(2x + 3) - 2(2x + 3) = 0}}} \\ \\ { \bold{ \blue{ \implies \:{ \boxed {(3x - 2)(2x + 3) = 0}}}}}$