What binomial must be added to (-6t + 15) to make the sum of the two polynomials equal to (7t – 5)? A) (-13t + 20) B) (13t - 20) C) (-7t + 20) D) (7t - 20)

Question

asked Oct 19, 2024 33.6k views

1 Answer

Konrad Wright · Answer 1 · 2024-10-23T01:23:27+0000

To make the sum of the two polynomials equal to (7t - 5), the binomial that needs to be added to (-6t + 15) is (7t - 20).

To make the sum of the two polynomials equal to (7t - 5), we need to find the binomial that, when added to (-6t + 15), results in (7t - 5).

We can solve this by setting up an equation:

(-6t + 15) + BINOMIAL = (7t - 5)

Combining like terms, we have:

9t + BINOMIAL = -20

Since 9t + BINOMIAL must equal -20, the correct binomial to add is -20 - 9t.

Therefore, the answer is D) (7t - 20).