Question

Factorize the quadratic expression: x2 -15x -76

Answer 1

Step-by-step explanation:

A Method For Simple Cases

Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.

Step 2: Rewrite the middle with those numbers:

Step 3: Factor the first two and last two terms separately:

Answer 2

Answer:

(x-19)(x+4)

Step-by-step explanation:

Using guess and check, find two numbers that multiply to -76 and add to -15:

They are -19 and 4.

Therefore, x²-15x-76=(x-19)(x+4).