Question

How do you divide `(2x^2+7x-15)div(x+5)` using synthetic division?

Answer 1

`(2x-3)`

Explanation:

You can compare coefficients by seeing a quadratic (`x^2`) divided by a linear (single power of x) will result in a linear factor in the form `(ax+b)`

`2x^2+7x-15 = (x+5)(ax+b)`

If you compare coefficients, `xtimesax` must be `2x^2` so `a=2`

Similarly, `5timesb` must equal `-15` so `b=-3`

I would use algebraic division but I don't know how to do the formatting yet!! I'll update my answer when I find out how to show the 'bus stop method'