question number two factors of x square minus x minus 6
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Middle Term Method :
This method prescribes an easier way to factorize any quadratic equation. Here, we have to find the product of the coefficient of the squared term x² and of the last term - constant term. Then we have to evaluate the product to get an operated (addition or subtraction) value for the mid-term.
Like, x² + ax + bx + ab
= x (x + a) + b (x + a)
= (x + a) (x + b)
Factorization :
Now, x² - x - 6
= x² - (3 - 2) x - 6
= x² - 3x + 2x - 6
= x (x - 3) + 2 (x - 3)
= (x - 3) (x + 2)
which is the required Factorization.
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