Question
Factories:
$y^2+ 5y - 36$
$y^2+ 5y - 36$
✓
Answer
To factories $y^2+ 5y - 36$, we will find two number p and q such that $p + q = 5$ and $pq = -36$
Now,
$9 + (-4) = 5$
And
$9 x (-4) = -36$
Splittiong the middle term 5y in the given quadratic as $-4y + 9y,$ we get:
$y^2+ 5y - 36 = y^2-4y +9y - 36$
$= (y2 - 4y) + (9y - 36)$
$= y(y - 4) + 9(y - 4)$
$= (y + 9)(y - 4)$
Now,
$9 + (-4) = 5$
And
$9 x (-4) = -36$
Splittiong the middle term 5y in the given quadratic as $-4y + 9y,$ we get:
$y^2+ 5y - 36 = y^2-4y +9y - 36$
$= (y2 - 4y) + (9y - 36)$
$= y(y - 4) + 9(y - 4)$
$= (y + 9)(y - 4)$
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