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can you factor x^2 + 4x – 5 ?

forgot

what are the 2 numbers with sum =4 and product = -5 ?

4x and -5

you mean 4 and -5 ?
not really...

ok

try again ?

2 and 10

2+10 =4 ?

and one of the number will be negative.

oh 2x and x^2 = 4

10 - 5 = 5

what about +5 and -1 ?

will those give sum =4 and product = -5 ?

yes

so, we split the middle term
4x = 5x-x

ok

x^2+5x-x-5 =0
x(x+5)-1 (x+5) =0
factor out x+5 from that, what u get ?

ok so im gonna have
(x + 5) and also -1

12x

how ?

well adding them both together

you can't add 2x to 10
2x has 'x' in it, its variable, 10 is a constant

oh srry

im not sure then

2*x+10 = 2*x+2*5
2 is common, factoring it out,
2 (x+5)
got this ?

yup

numerator = 2 (x+5)
denominator = (x-1)(x+5)
what gets cancelled out ?

x + 5

what remains ?

2 / x - 1

thats your answer :)

thank you for all your help

welcome ^_^