D because of the distribution property
The polynomial remainder theorem states that the remainder upon dividing a polynomial
![p(x)](https://tex.z-dn.net/?f=p%28x%29)
by
![x-c](https://tex.z-dn.net/?f=x-c)
is the same as the value of
![p(c)](https://tex.z-dn.net/?f=p%28c%29)
, so to find
![p(-10)](https://tex.z-dn.net/?f=p%28-10%29)
you need to find the remainder upon dividing
![\dfrac{2x^3+14x^2-58x}{x+10}](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%5E3%2B14x%5E2-58x%7D%7Bx%2B10%7D)
You have
..... | 2 ... 14 ... -58
-10 | ... -20 ... 60
--------------------------
..... | 2 ... -6 .... 2
So the quotient and remainder upon dividing is
![\dfrac{2x^3+14x^2-58x}{x+10}=2x-6+\dfrac2{x+10}](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%5E3%2B14x%5E2-58x%7D%7Bx%2B10%7D%3D2x-6%2B%5Cdfrac2%7Bx%2B10%7D)
with a remainder of 2, which means
![p(-10)=2](https://tex.z-dn.net/?f=p%28-10%29%3D2)
.
Answer:
The answer is 86
Step-by-step explanation:
1) P E M D A S
exponents first so
6 squared is 36 or 6x6=36
2) Multiplication
10x5=50
3) Addition
36+50=86