Question

Choose the correct sum of the polynomials (6x3 − 8x − 5) (3x3 6x 2). 9x3 − 2x − 3 3x3 2x 3 3x3 − 2x − 3 9x3 14x 3.

Answer 1

Like terms have the same variable and power. The sum of the two polynomials $(6x^3 -8x -5)+(3x^3+6x+2)$ is $3x^3 -2x -3$.

What are Like terms?

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

We know that in order to find the sum of the two polynomials we need to add or subtract the like terms, therefore, the sum of the polynomials can be done as,

$(6x^3 -8x -5)+(3x^3+6x+2)\\\\= 6x^3 -8x -5+3x^3+6x+2\\\\= 6x^3 +3x^3- 8x+6x-5+2\\\\ = 3x^3 -2x -3$

Hence, the sum of the two polynomials $(6x^3 -8x -5)+(3x^3+6x+2)$ is $3x^3 -2x -3$.

Learn more about Like Terms:

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