# Choose the correct sum of the polynomials (2x^{3} - 5x - 1) + (4x^{3} + 8x + 3).

2x^{3} - 3x - 4

6x^{3} + 3x + 2

2x^{3} + 3x + 2

6x^{3} - 3x - 2

**Solution:**

Given polynomials (2x^{3} - 5x - 1) + (4x^{3} + 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 ax^{2 }+ bx + c) polynomial.

We know that x terms with equal powers are added correspondingly

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

⇒ (2x^{3} +4x^{3}) + (-5x + 8x) + (-1 + 3).

⇒ 6x^{3} + 3x + 2

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

The sum of given polynomials is 6x^{3} + 3x + 2.

## Choose the correct sum of the polynomials (2x^{3} - 5x - 1) + (4x^{3} + 8x + 3).

**Summary:**

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

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