Choose the correct sum of the polynomials (3x3 − 5x − 8) + (5x3 + 7x + 3).
8x3 + 2x + 5
2x3 − 12x − 11
2x3 + 12x − 5
8x3 + 2x − 5

Sum of the polynomials is

D is the correct option.

Step-by-step explanation:

The given polynomial is

Distribute plus over the parenthesis

Group the like terms.

Combine the like terms

Hence, the sum of the polynomials is

D is the correct option.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative