Add the polynomials. $5 p ^ { 5 } + 3 p + 10 \text { and } - 9 p ^ { 5 } - 10 p + 15$
A) $14 p ^ { 5 } - 7 p + 25$
B) $- 4 p ^ { 5 } - 7 p + 25$
C) $- 4 p ^ { 5 } + 7 p - 25$
D) $- 4 p ^ { 10 } - 7 p ^ { 2 } - 25$
E) $14 p ^ { 5 } + 7 p + 25$

Question

Quizplus · Accepted Answer

To add the polynomials, we need to combine like terms. In this case, the only like terms are the constants: 10 and 15. So, the sum of the polynomials is:

$(5p^5 + 3p + 10) + (-9p^5 - 10p + 15)$

$= 5p^5 - 9p^5 + 3p - 10p + 10 + 15$

$= -4p^5 - 7p + 25$

Therefore, the best choice is B.

Add the Polynomials 5p5+3p+10 and −9p5−10p+155 p ^ { 5 } + 3 p + 10 \text { and } - 9 p ^ { 5 } - 10 p + 155p5+3p+10 and −9p5−10p+15

Add the Polynomials $5 p ^ { 5 } + 3 p + 10 \text { and } - 9 p ^ { 5 } - 10 p + 15$