178k views
0 votes
50 POINTS! PLEASE HELP!

Which of the binomials below is a factor of this trinomial? x2 - 3x - 4
A. x2 + 4
B. x + 4
C. x - 4
D. x + 8

2 Answers

3 votes

Answer:

c) x - 4

Explanation:

To do a factorization of this kind of trinomial there is a technique very easy to do it.

First, you need to see the numbers that are along with the x and the independent number.

In this case -3 and -4 (I will call them b and c)

Next, you need to think in two numbers that can acomplish the following:

x * y = c

x + y = b

So, first, think, which are two numbers that you can multiply between them to give as a result -4?.

In this case it would be -4 and 1 (-4*1 = -4)

These numbers if you do a sum you'll get -3:

-4 + 1 = -3

So the factorization becomes this:

(x - 4) (x - 1)

So, one of the factors is x - 4. Option c

User Kalimsayyed
by
6.8k points
1 vote
x² -3x - 4
x -4
x 1

(x-4) (x + 1)

your answer is C.x - 4

hope this helps
User Clinton Ward
by
7.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.