Choose the correct sum of the polynomials (2x³ - 5x - 1) + (4x³ + 8x + 3).
2x³ - 3x - 4
6x³ + 3x + 2
2x³ + 3x + 2
6x³ - 3x - 2 

Solution:

Given polynomials (2x³ - 5x - 1) + (4x³ + 8x + 3).

A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a non-negative integral power (such as ax² + bx + c) polynomial.

We know that x terms with equal powers are added correspondingly

Hence, arrange the terms of equal powers of ‘x’

⇒ (2x³ +4x³) + (-5x + 8x) + (-1 + 3).

⇒ 6x³ + 3x + 2

We add polynomials by adding the coefficients of the same power.

The sum of given polynomials is 6x³ + 3x + 2.

Choose the correct sum of the polynomials (2x³ - 5x - 1) + (4x³ + 8x + 3).

Summary:

The correct sum of the polynomials (2x³ - 5x - 1) + (4x³ + 8x + 3) is 6x³ + 3x + 2.