Question

1. an expression is shown. what is the sum of the polynomials in standard form? (7k² + 8k + 3) + (14k² − 12k − 17) = 21k² − 4k − 14

Explanation:

Step1: Combine like terms for \(k^2\)

\(7k^2 + 14k^2 = (7 + 14)k^2 = 21k^2\)

Step2: Combine like terms for \(k\)

\(8k - 12k = (8 - 12)k = -4k\)

Step3: Combine constant terms

\(3 - 17 = -14\)

Step4: Write in standard form

Combine the results from steps 1 - 3: \(21k^2 - 4k - 14\)

Answer:

\(21k^2 - 4k - 14\)