Question

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)

Answer 1

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).

Step-by-step explanation:

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).