Multiply the following polynomials.
-2r(8r+5)
A) -16r^2+5
B) -16r^2 +10
C) -16r^2-10r
D) -16r^2-10
The correct answer is D) -16r^2-10.
To multiply two polynomials, we use the distributive property:
-2r(8r+5) = (-2r)(8r) + (-2r)(5)
= -16r^2 - 10
To multiply the polynomials -2r and (8r+5), you need to use the distributive property. Multiply -2r with each term inside the parentheses.
-2r * 8r = -16r^2
-2r * 5 = -10r
So, the result of multiplying the polynomials is -16r^2 - 10r.
Therefore, the correct option is C) -16r^2 - 10r.