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factor, $y^2 + 10y - 19$

Question

factor,
$y^2 + 10y - 19$

Explanation:

Step1: Find two factors of -19

We need two numbers that multiply to $-19$ and add to $18$. These numbers are $19$ and $-1$.

Step2: Rewrite trinomial as factored form

Use the two numbers to split the middle term and factor:
$y^2 + 18y - 19 = (y + 19)(y - 1)$

Answer:

$(y + 19)(y - 1)$