Question

Which polynomial represents the sum below? (14x2 – 14) + (–10x2 – 10x + 10) A. 4x2 – 10x + 24 B. 4x2 – 10x – 4 C. 24x2 – 24x – 10 D. 14x3 + 4x2 + 10x – 4

Answer 1

answer : B

Explanation:

(14x2 – 14) + (–10x2 – 10x + 10) = (14x² - 10x²) -10x + (-14+10)

(14x2 – 14) + (–10x2 – 10x + 10) = = 4x² - 10x - 4

answer : B

Answer 2

The answer is B.
`4x^2-10x-4`

Explanation:

In order to solve the problem, we have to understand the addition of similar term. In general, any term has a coefficient and a variable. We have to find every different variable in the addition and then we have to add the coefficients of every term which has the same variable.

In this case:

`14x^2-14-10x^2-10x+10`

There are 3 terms:
`x^2, x,` non-variable

So,

`(14x^2-10x^2)+(-10x)+(-14+10)\\4x^2-10x-4`

Finally, the answer is letter B.
`4x^2-10x-4`