Which of the binomials below is a factor of this trinomial? x2 - x-12 A) x+6 B) x+4 C) x-4 D) x-6

Start by setting up your two sets of parenthses.

X² breaks down into x and x.

What we are looking for is factors of the constant term

that add to the coefficient of the middle term.

The question is, what is the coefficient of the middle term

in this problem if there is nothing written in front of the x.

Well if there is nothing written there,

the coefficient is understood to be 1.

So what we are looking for are factors of -12 that add to -1.

Factors of -12

+12 · -1

-12 · +1

+6 · -2

-6 · +2

+4 · -3

-4 · + 3

We can see that -4 and +3 add to -1.

So they go in the second position of each binomial.

This gives us (x - 4)(x + 3) as our answer.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

answer: 5100 just subtract

step-by-step explanation: