Question

Factorise 2x+(3/x)-7

Please show work, Many Thanks

Answer 1

multiply each term by x

\[\implies 2x^2 + 3 - 7x\]
rearrange
\[\implies 2x^2 - 7x + 3\]
break down the middle term
\[\implies 2x^2 -x - 6x + 3\]
group
\[\implies (2x^2 - x) - (6x - 3)\]
factor out
\[\implies x(2x - 1) - 3(2x - 1)\]
factor again to get the final answer

does that help @unseenoceans or do you need more help

Answer 2

just give me a minute to review, thanks

Answer 3

sure. take your time

Answer 4

Is final answer (x-3)(2x-1) ?

Answer 5

lgbasallote, Many thanks for your quick and detailed reply. You are a lifessaver!

Answer 6

yes you're right. and welcome ^_^