Question

Factories 6x^2+5x-6​

Answer 1

6 × 6 = 36

by splitting the middle term

= 6x²+9x-4x-6

= 6x( x + 9 / 6 ) - 4 ( x + 6 / 4 )

= 6x( x + 3 / 2 ) - 4 ( x + 3 / 2 )

= 6x - 4 = 0 ( or ) x + 3 / 2 = 0

= 6x = 4 ( or ) x = -3 / 2

= x = 4 /6

= x = 2 / 3

( or )

Given expression is 6x2+5x−6

6x2+9x−4x−6

3x(2x+3)−2(2x+3)

(2x+3)(3x−2).

you can take common

Answer 2

$\large{\boxed{\bf{Answer}}}$

(3x - 2) (2x + 3)

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Given :-

• A quadratic polynomial as 6x² + 5x - 6

To Find :-

• factors of the polynomial.

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$\large{\boxed{\bf{Solution}}}$

★ 6x² + 5x - 6

Here,

• a = 6

• b = 5

• c = - 6

6x² + 5x - 6 [ a × c = 6 ×(-6) = 36 , first term × last term ]

Now, split the middle term

★ 6x² + 5x - 6

=> 6x² + 9x - 4x - 6

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

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

Hence, factors of the polynomial 6x² + 5x - 6 are (3x - 2) and (2x + 3)

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