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# Choose the correct sum of the polynomials (4x^{3} - 2x - 9) + (2x^{3} + 5x + 3).

# 6x^{3} - 3x - 6

# 2x^{3} - 7x - 12

# 6x^{3} + 3x - 6

# 2x^{3} + 3x - 3

**Solution:**

A polynomial is a type of expression. An expression is a mathematical statement without an equal-to sign (=).

Coming back to polynomials, the definition of the polynomial can be given as:

"A polynomial is a type of expression in which the exponents of all variables should be a whole number."

It is given that:

(4x^{3} - 2x - 9) + (2x^{3} + 5x + 3)

We have to find the correct sum of the polynomials,

= 4x^{3} - 2x - 9 + 2x^{3} + 5x + 3

By rearranging, we get

= 4x^{3} + 2x^{3} - 2x + 5x - 9 + 3

By further calculation,

= 6x^{3} + 3x - 6

Therefore, the sum of the polynomials is 6x^{3} + 3x - 6.

## Choose the correct sum of the polynomials (4x^{3} - 2x - 9) + (2x^{3} + 5x + 3).

**Summary:**

The correct sum of the polynomials (4x^{3} - 2x - 9) + (2x^{3} + 5x + 3) is 6x^{3} + 3x - 6. "A polynomial is a type of expression in which the exponents of all variables should be a whole number."

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