Choose the correct sum of the polynomials (4x³ - 2x - 9) + (2x³ + 5x + 3).

6x³ - 3x - 6

2x³ - 7x - 12

6x³ + 3x - 6

2x³ + 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:

(4x³ - 2x - 9) + (2x³ + 5x + 3)

We have to find the correct sum of the polynomials,

= 4x³ - 2x - 9 + 2x³ + 5x + 3

By rearranging, we get

= 4x³ + 2x³ - 2x + 5x - 9 + 3

By further calculation,

= 6x³ + 3x - 6

Therefore, the sum of the polynomials is 6x³ + 3x - 6.

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Choose the correct sum of the polynomials (4x³ - 2x - 9) + (2x³ + 5x + 3).

Summary:

The correct sum of the polynomials (4x³ - 2x - 9) + (2x³ + 5x + 3) is 6x³ + 3x - 6. "A polynomial is a type of expression in which the exponents of all variables should be a whole number."