Question

Factorize* :
(by splitting the middle term)

(1) y² - 5y - 14​

Answer 1

Answer:

$y(y - 7) + 2(y - 7)$

Step-by-step explanation:

We, have to find two such numbers whose sum is -5 and product is - 14 (by using rule).

Clearly those numbers are 2 and -7.

Now, let's split :-

y²-5y-14 = y²-7y+2y-14.

Now, let's take common terms.

${y}^{2} - 7y + 2y - 14 = y(y - 7) + 2(y - 7)$

$= > (y - 7)(y + 2)$

So,

${y}^{2} - 5y - 14 = (y - 7)(y + 2)$

$Hope \: this \: helps$

Please mark my answer as the BRAINLIEST answer.