What is the quotient: (2x2 + 10x + 12) ÷ (x + 3) ?
a. 2x + 6
b. 2x – 6
c. 2x + 4
d. 2x – 4, r = 1

Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Now, we need to find the quotient of the given polynomial by dividing with g(x).

So, here we go:

Take out the common factor 2 from the numerator i.e. f(x), it becomes,

Now, we will apply the "Split the middle term", we get,

So, we will divide f(x) with g(x) :

Now, Cancel out the like term :

So, we get

Hence, Option 'C' is correct.

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.