Question

Given the expression 2x^2 + 3x + c, what value could be filled in for c to create an equivalent expression that is factorable using integers?

Answer 1

`c = 1`

Explanation:

The given expresion is

`2 {x}^(2) + 3x + c`

For this expression to be factorable using integers, we must find factors of 2c, that will sum up to 3.

We know 2,c are factors of 2c

Their sum should be 3.

`c + 2 = 3`

This implies that:

`c = 3 - 2 \\ c = 1`