143k views
2 votes
Find the sum of these polynomials.

(x9 - x + 8) + (10x9 + 7) =

A. 10x18 - x + 15
B. 10x9 - x + 15
C. 11x9 - x + 15
D. 11x18 - x + 15

1 Answer

2 votes
The correct answer is: [C]: " 11x⁹ − x + 15 " .
___________________________________________________
Explanation:
___________________________________________________
Given:
___________________________________________________
" (x⁹ − x + 8) + (10x⁹ + 7) " ; Simplify/ Add.
_______________________________________________________
We can rewrite this as:

" 1x⁹ − 1x + 8 + 10x⁹ + 7 = ?

→ {The "1" is implied; since "1", multiplied by any value, results in the exact same value.}.

Combine the "like terms" :

+ 1x⁹ + 10x⁹ = 11x⁹ ;

+ 8 + 7 = 15 ;

and we are left with: " − 1x " ; which we can rewrite as: " −x " ;
_________________________________________________
So, we can write our answer as:
_________________________________________________

" 11x⁹ − x + 15 " ;

→ which is: "Answer choice: [C]: " 11x⁹ − x + 15 " ;
_________________________________________________
User Paweldac
by
8.1k points