Answer the following.

factor the following expression using the gcf: 2dr – 4r.

r(2d – 4)
2r(d – 2)
2(dr – 2r)
2r(d – 1)

factor the following expression using the gcf: 14xy + 8yz.

2(7xy + 4yz)
2xy(7 + 4z)
y(14x + 8z)
2y(7x + 4z)

factor the following expression using the gcf: 10ab + 20.

10(ab + 2)
5(2ab + 4)
2(5ab + 10)
10(ab + 20)

factor the following expression using the gcf: 42pr – 3p.

3p(14r)
p(42r – 3)
3p(14r – 1)
42p(r – 3)

1) 2r(d – 2)

2) 2y(7x + 4z)

3) 10(ab + 2)

4) 3p(14r – 1)

I hope this helps!

The roots are: √11 + 2 and -√11 + 2

Explanation:
First, we would put the equation in the standard form which is as follows:
ax² + bx + c = 0

This can be done as follows:
x² - 4x + 4 - 11 = 0
x² - 4x - 7 = 0

By comparison:
a = 1
b = -4
c = -7

Now, to get the roots, we would use the quadratic equation shown in the attached image.

By substitution, we would find that:
either x = √11 + 2
or x = -√11 + 2

Hope this helps :)