Question

15 PTSS EASY I PROMISE FOR BRAINIEST!!!The distance from Newtown to Oldtown on the highway is (6x2 + 2x – 2) miles. Using the back roads, the distance is (5x2 – 8x – 6) miles. How many miles shorter is the second route?
A.)11x2 + 10x – 8
B.)–x2 – 6x + 4
C.)x2 + 10x + 4
D.)x2 – 6x – 8

Answer 1

For this case we have to subtract the two distances (subtract the polynomials) and the difference will be given by the shorter miles of the second route.

$6x ^ 2 + 2x-2- (5x ^ 2-8x-6) =$

Taking into account that:

$- * + = -\\- * - = +\\6x ^ 2 + 2x-2-5x ^ 2 + 8x + 6 =$

Adding similar terms:$6x ^ 2-5x ^ 2 + 2x + 8x-2 + 6 =\\x ^ 2 + 10x + 4$

So, the correct option is C

ANswer:

Option C