Question

factor any method.
33x^2+7x-10

Answer 1

(3x+2)(11x−5)

Answer 2

\[33x^2+7x-10\]
33*-10=-330
22-15=7
22*-15=-330
write 7x=22x-15x
and then take common to make factors.

Answer 3

youvan make factors using quadratic formula.
consider \[33x^2+7x-10=0,x=\frac{ -7\pm \sqrt{7^2-4*33*-10} }{ 2*33 }\]
\[x=\frac{ -7\pm \sqrt{49+1320} }{66}=\frac{ -7\pm \sqrt{1369} }{ 66 }=\frac{ -7\pm37 }{ 66}\]
\[x=\frac{ 30 }{66 }=\frac{ 5 }{11 },hence~ x-\frac{ 5 }{ 11 } ~is~a~factor\]
or 11x-5 is a factor.
or \[x=\frac{ -44 }{ 66 }=\frac{ -2 }{3 },or~x+\frac{ 2 }{3 }~is~a~factor.\]
or 3x+2 is a factor.
\[33x^2+7x-10=\left( 11x-5 \right)\left( 3x+2 \right)\]