Question

[8.01] Factor completely: −5x2 + 10x − 15
Can someone show me how to do this please?

Answer 1

Factor your back numbers first

Answer 2

*number

Answer 3

back number?

Answer 4

15 would be your back number.

Answer 5

ok , after I do that, whats next?

Answer 6

@ganeshie8

Answer 7

help with this

Answer 8

\[-5x ^{2}+10x-15=-5\left( x ^{2} -2x\right)-15=-5\left( x ^{2} -2x+1-1\right)-15\]
\[=-5\left( x-1 \right)^{2}+5-15=-5\left\{ \left( x-1 \right) ^{2}+2\right\}\]
\[=-5\left\{ \left( x-1 \right)^{2} -\left( -2 \right)\right\}\]
\[=-5\left\{ \left( x-1 \right)^{2} -\left( \iota \sqrt{2} \right)^{2}\right\}\]
\[=-5\left( x-1+\iota \sqrt{2} \right)\left( x-1-\iota \sqrt{2} \right)\]