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------------------------------------------------ Find the sum of the polynomials below:

\[(8x^9 + 6x^6 - 2x + 6) + (9x^9 + 4x^6 + 9x + 7)\]

Answer :

Final answer:

To find the sum of the given polynomials, add the coefficients of the like terms.

Explanation:

To find the sum of the polynomials (8x^9 +6x^6 -2x+6) + (9x^9 + 4x^6 + 9x +7), we add the coefficients of the like terms.

Like terms are those with the same variable and corresponding exponent.

We add the coefficients of the x^9 terms, the x^6 terms, the x terms, and the constant terms separately.

  • For the x^9 terms: 8x^9 + 9x^9 = 17x^9.
  • For the x^6 terms: 6x^6 + 4x^6 = 10x^6.
  • For the x terms: -2x + 9x = 7x.
  • For the constant terms: 6 + 7 = 13.

Putting all the terms together, the sum of the polynomials is 17x^9 + 10x^6 + 7x + 13.

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