Question

Factor the trinomial below.
x² – 2x - 35
Need To Know ASAP

Answer 1

(x+5)(x-7)

Explanation:

The given equation is

x^2-2x-35

Here we need to split 35 in a way that the multiplication of the numbers should yield 35 while the addition needs to be equal to the middle term of the equation that is -2x

So if i consider the factors of 35, i can take 7 and 5

first condition is multiplication should be 35, so

7*5 = 35

second condition says addition needs to be equal to the middle term of the equation

-7x+5x = -2x

so both the conditions are satisfying so we can break the equation now

x^2-7x+5x-35

taking the common terms out

x(x-7)+5(x-7)

(x+5)(x-7)

Answer 2

see below

Explanation:

You can always multiply these out to find what works.

First of all, you can look at the product of the constants. In order for the product to be -35, they must have different signs. That excludes choices A and B.

In order for the x-term of the product to be -2, the binomial constants must have a sum of -2. That excludes choice D.

The only viable choice is C.