Which of the binomials below is a factor of this trinomial? x2 - 10x + 24 a. x + 4 b. x - 3 c. x - 4 d. x + 3

Option (c) is correct.

(x-4) is a factor of given trinomial.

Step-by-step explanation:

Consider the give trinomial

We have to find the factors of given binomial and choose the correct one from the given options.

Consider the given polynomial

We will simplify the given quadratic equation using middle term split method,

-10x can be written as -4x-6x

Such that the product of term will give the product of the remaning terms,

Thus, the given trinomial becomes,

Taking x common from first two terms and -6 common from last two terms, we have,

Thus,  take (x-4) common , we have,

Thus, out of given factors (x-4) is a factor of given trinomial.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

answer: 2530

hope this