Question

Factories : y² - 3y - 28

Answer 1

The answer is:

(y - 7)(y + 4)

Work/explanation:

We need to think of two numbers whose product is -28 and whose sum is -3.

These numbers are -7 and 4.

Now, remember that a factored expression looks like this:

`\sf{(y+\_\_\_)(y+\_\_\_)}`

What goes in the blanks are the numbers -7 and 4:

`\sf{(y+(-7)(y-4)}`

Simplify

`\sf{(y-7)(y+4)}`

Hence, the answer is (y - 7)(y + 4).