Question

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

Answer 1

Answer:

Sum of the polynomials is $8x^3+2x-5$

D is the correct option.

Step-by-step explanation:

The given polynomial is $(3x^3-5x-8)+(5x^3+7x+3)$

Distribute plus over the parenthesis

$3x^3-5x-8+5x^3+7x+3$

Group the like terms.

$3x^3+5x^3-5x+7x-8+3$

Combine the like terms

$8x^3+2x-5$

Hence, the sum of the polynomials is $8x^3+2x-5$

D is the correct option.

Answer 2

The sum of the polynomials are  $8x^{3}+2x-5$

Summation of Polynomials:

To find the sum of polynomials we have to add like terms.

Like terms are those terms which have same variable with same exponent power.

Given polynomials are,

                     $(3x^{3}-5x-8 )+(5x^{3}+7x+3 )\\\\=3x^{3}+5x^{3}-5x+7x-8+3\\ \\ =8x^{3}+2x-5$

Learn more about the polynomials here:

https://brainly.com/question/2833285