Question

Find the sum or differende. Write your answer in standard form. (6k²+2k+9)+(4k²-5k)

Answer 1

To find the sum of the polynomials (6k²+2k+9) and (4k²-5k), combine like terms to get the result, which is 10k² - 3k + 9 in standard form.

Step-by-step explanation:

The task is to find the sum of the two polynomials (6k²+2k+9) and (4k²-5k). When adding polynomials, we combine like terms, which means we add coefficients of terms with the same degree.

• Firstly, combine the k² terms: 6k² + 4k² = 10k².
• Next, add the k terms: 2k - 5k = -3k.
• The constant term in the first polynomial does not have a corresponding term in the second polynomial, so it remains as it is: +9.

The sum of the two polynomials in standard form is 10k² - 3k + 9.