Question

can x^2+x+2 be factored?

Answer 1

Not with real numbers.

Answer 2

\[{-1 \pm \sqrt{1^2 -(4 \times 1 \times 2)} \over 2} = {-1 \pm \sqrt{-7} \over 2} = {-1\pm \sqrt{7i} \over 2} \]

Answer 3

Nope.



To check if a quadratic has real factors or not, check the Discriminant "D"
\[D = b^2 - 4ac\]

where a,b and ccan be found by comparing your quadratic with the standard form:
\[ax^2 + bx +c = 0\]

now, if:

D=0. --->One real root or factor (that means its a complete square)
D>0 --->Two real factors
D<0 ---> NO real factors

So, what do you think now for the above problem?

Answer 4

I still say it does ;)

Answer 5

It doesn't. Not real factors atleast. :)

Answer 6

how do I solve this problem?

Answer 7

Cross multiply. best way.

Answer 8

so would the answer be x^2 over c+1?

Answer 9

the answer given is 1... i have no clue how