Question

What is the simplified form of the quantity 4 x squared minus 20x plus 25 over the quantity 2x minus 5

Answer 1

Can you put it in equations or draw?

Answer 2

sure

Answer 3

\[\frac{ 4x^2-20x+25 }{ 2x-5 } \]

Answer 4

\[\frac{ (4x^2-10x-10x+25) }{ 2x-5 } \frac{ 2x(x-5)-5(x-5) }{ }\]

Answer 5

Would the final answer be \[2x-5\] with a restriction of x\[\neq-\frac{ 5 }{ 2 }\]?

Answer 6

cancel out the 2x-5's
2x-5 is your final answer

Answer 7

YUP!

Answer 8

basically always factor everything you can then cancel out terms.
2x-5 is your final answer

Answer 9

Got it @Athentsu :) ?

Answer 10

Thanks guys! Yeah. Just to check though, restriction would be -5/2 or 5/2?

Answer 11

2x-5=0
2x=5
x=5/2 is the only restriction ;)

Answer 12

Great, i thought it was -5/2 :( thanks for checking it for me