Question

Factorise :- ${6x}^{2} - 19x - 7$​

Answer 1

Answer:

Step-by-step explanation:

12x-19x-7

=12x-26x

=-14x

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Answer 2

Answer:

(2x - 7)(3x + 1)

Step-by-step explanation:

6x² - 19x - 7

= 6x² + 2x - 21x - 7

= 2x (3x + 1) - 7 (3x + 1)

= (2x - 7)(3x + 1)

note that I chose +2 and -21 because 6(-7) = -42 and since the constant term is negative I have to use a positive and a negative mid-term factor, such that the product of the coefficients of the mid-terms is (-42) and the sum is -19.