what is the answer for polynomial 6x2 + x − 15 has a factor of 2x − 3. What is the other factor?

Question

AntonyTheGreatest · Answer

i am really confused

snowflake0531 · Answer

It wants you to find x where $x(2x-3)=6x^2+x-15$

So if you know how to polynomial division or synthetic division, you could do $$\frac{6x^2+x-15}{2x-3}$$

AntonyTheGreatest · Answer

these are the answer to choose from3x − 5
3x + 5
4x − 5
4x + 5

SmokeyBrown · Answer

You're basically trying to find another expression that multiplies with (2x-3) in order to equal 6x^2 + x - 15
Since the first part of the polynomial is 6x^2, we know that the other factor must start with 3x, since 3x * 2x = 6x^2
What about the rest of the factor? What multiplies with -3 to get -15?

AntonyTheGreatest · Answer

yea i have a lot of questions