Question

Which of the following pairs of terms could both add to -13 and multiply to 3 in the expression 4x^2 - 13x + 3?

A) -1 and -3
B) -3 and -1/4
C) -3 and -1
D) -1/4 and -12

Answer 1

The pair of terms that both add up to -13 and multiply to 3 in the given expression are (-1) and (-3).

Step-by-step explanation:

To find the pairs of terms that both add to -13 and multiply to 3 in the expression 4x^2 - 13x + 3, we need to find the factors of 3 that add up to -13.

Since 3 is a prime number, There are just two factors: 1 and 3.

To get -13 when adding two numbers, one must be negative and the other positive. So, the pair of terms is (-1) and (-3).