How would you factor 3x squared plus x minus 10?

3x**2+x-10

Multiply first and last terms

3*-10=-30

Find factors of -30 that add up to second term

6+-5=1

rewrite

3x**2-5x+6x-10

Factor pairs of terms

3x**2-5x+6x-10 = x(3x-5)+2(3x-5)

Factor

x(3x-5)+2(x-5) = (x+2)(3x-5)