Answer:
The remainder is -4112.
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. According to the PRT, when we divide a polynomial P(x) by a binomial in the form of (x - a), then the remainder will be P(a).
We are dividing:
[tex](4x^3+8x-32)\text{ by } (x+10)[/tex]
We can rewrite the divisor as:
[tex]x+10=x-(-10)[/tex]
So, a = -10.
Then according to the PRT, the remainder of the operation will be:
[tex]R=P(-10)=4(-10)^3+8(-10)-32=-4112[/tex]
