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

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Mariamikaylaidn
[tex]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=\frac{-(-2) +/- \sqrt{64}}{2*3} \\\\ x_1;x_2=\frac{2 +/-8}{6} \\\\ x_1=\frac{2+8}{6}=\frac{10}{6}\to\boxed{\frac{5}{3}} \\\\ x_2=\frac{2-8}{6}=\frac{-6}{6}\to\boxed{-1} \\\\ 3p^2-2p-5=(x-\frac{5}{3})(x+1)[/tex]
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