Question

Please answer!!!!!
Factor:
1)
−5x3 + 10x2
2)
3x2 + 9x − 3

Answer 1

Any ideas?

Answer 2

$$−5x^3 + 10x^2$$

Answer 3

I think that for 1 the GCF's are 5 and x^2?

Answer 4

Good, you are right :)

Answer 5

ok now would it be -5x^2(5+x^2)? Or something like that?

Answer 6

I dont know the firt part before the parenthasis...

Answer 7

parenthesis

Answer 8

Multiply them using the distributive property: $$a(b + c) = ab + ac$$ where a is the first part before the parenthesis.

Answer 9

uhh? :3

Answer 10

−5x2(x − 2)?

and 2 =
3(x2 + 3x − 1)?

Answer 11

yeah watever thx...

Answer 12

FOR (2)
\[3x ^{2}+9x-3=3\left( x ^{2} +3x\right)-3=3\left( x ^{2}+3x+\frac{ 9 }{ 4 }-\frac{ 9 }{ 4 } \right)-3\]
\[=3\left( x+\frac{ 3 }{ 2} \right)^{2}-\frac{ 27 }{4 }-3\]
\[=3\left( x+\frac{ 3 }{ 2 } \right)^{2}-\frac{ 39 }{4 }\]
\[=3[\left( x+\frac{ 3 }{ 2 } \right)^{2}-\frac{ 13 }{ 4 }]\]
\[=3\left[ \left( x+\frac{ 3 }{ 2 } \right)^{2}-\left( \frac{ \sqrt{13} }{2 } \right)^{2}\right]\]
\[=3\left( x+\frac{ 3 }{ 2 }+\frac{ \sqrt{13} }{2 } \right)\left(x+\frac{ 3 }{ 2 }-\frac{ \sqrt{13 } }{ 2} \right)\]