What is the greatest common factor (GCF) of the numerator and denominatorof the rational expression below?A. ** 6B. X* 1C. 6D. 2.

The answer is D .. D) 2

(5x+10)/(x²-x-6)

1) 5x+10 = 5(x+2)

2) x² - x - 6 = (x+2)(x-3)              6 = -3*2, -1=-3+2

(5x+10)/(x²-x-6) = 5(x+2)/5(x+2)

As we can see greatest common factor is C.x + 2.

[tex](x-5)[/tex]

Step-by-step explanation:

The given expression : [tex]\frac{3x-15}{x^2-x-20}[/tex] [Taking as common outside]

[tex]\text{Polynomial in numerator=}3x-15=3(x-5)[/tex]

[tex]\text{Polynomial in denominator=} x^2-x-20\\\\=x^2-5x+4x-20\\=-x(x-5)+4(x-5)\\=(x-5)(x+4)[/tex]

We can see that the greatest common factor (GCF) of the numerator and denominator of given the rational expression = [tex](x-5)[/tex]

A. x-5

Step-by-step explanation:

3x/3= x

15/3= 5

X-5

Look below =3

The greatest common factor of numerator and denominator is (x-4).

X+5

Step-by-step explanation:

When you take out the 9 it should be 9(x+5) and when you take out the 9x on the bottom it gives you (x+5)+20 therefore x+5 is your GCF.

I hope this helps :)

A

Step-by-step explanation:

C. x + 6

Step-by-step explanation:

Start by factoring completely the numerator and the denominator.

2x + 12 = 2(x + 6)

x^2 + 7x + 6 = (x + 1)(x + 6)

The only common factor is x + 6, so the GCF is x + 6

C

Step-by-step explanation:

x²+2x-15 = x²-3x+5x-15 = x(x-3)+5(x-3)=(x+5)(x-3)

or delta:

∆=2²-4*1*(-15)=4+60=64

√∆=8

x1 = (-2+8)/2 = 3

x2=(-2-8)/2=-5

and 4x+20 = 4(x+5)

The same is (x+5), so it is GCF. answer C

GCF = x+3

Step-by-step explanation:

(6x+18)/(x^2-x-12) = 6 (x+3)/(x^2 +3x - 4x -12)

                            = 6(x+3)/( x(x+3) - 4(x+3) )

                            = 6(x+3)/( (x-4)(x+3) )

Ithink number to is 1 inch=5 miles
[tex]This is the picture of the homework[/tex]

b.-4 units

all you   do is count how many times you move