Question

Factor the trinomial below . x^2-2x-48

Answer 1

Answer:

$(x-8)(x+6)$

Step-by-step explanation:

We have been given a trinomial $x^2-2x-48$. We are asked to factor the given trinomial.

We will use split the middle term method to factor the given trinomial. We need two numbers, whose sum is -2 and product is -48. We know two such number are $-8\text{ and }6$.

Split the middle term:

$x^2-8x+6x-48$

Make two groups:

$(x^2-8x)+(6x-48)$

Factor greatest common factor of each group:

$x(x-8)+6(x-8)$

Use distributive property  backwards:

$(x-8)(x+6)$

Therefore, factorized form of the given trinomial would be $(x-8)(x+6)$.

Answer 2

X^2 - 2x - 48
|
Factorize machine
|
(x-8)(x+6)