The polynomial 6x2 + x - 15 has a factor of 2x - 3. What is the other factor?

3x - 5

3x + 5

4x - 5

4x + 5

The correct factorization gives you B (3x + 5).

The easiest way to find the right answer is to start by looking for a term that will give you the appropriate front term. Since the final, front term is 6x^2. Since we know this is a product of 2x and another, we can divide to find the other.

6x^2/2x = 3x

And we can do the same for the end term using the final term of the polynomial (-15). We know this is a factor of - 3 and another.

-15/-3 = 5

Then we put those two answers together to get the final result (3x + 5)