Question

How to solve 3p^2-2p-5 step by step without splitting the middle term

Answer 1

`3p^2-2p-5= \\\\ a=3 \\ b=-2 \\ c=-5 \\\\ \Delta=(-2)^2-4*3*(-5) =4+60\to\boxed{64} \\\\ x_1;x_2=(-(-2) +/- √(64))/(2*3) \\\\ x_1;x_2=(2 +/-8)/(6) \\\\ x_1=(2+8)/(6)=(10)/(6)\to\boxed{(5)/(3)} \\\\ x_2=(2-8)/(6)=(-6)/(6)\to\boxed{-1} \\\\ 3p^2-2p-5=(x-(5)/(3))(x+1)`