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Use the rational roots test?

try it

Okay. The possible rational roots are:
5
-5
1
-1

Checking all of them. Gimme a sec.

forget 1,-1

Yup, not 1 and -1.

not 5.

no rational roots

yeah, but it can still be factorised

into two quadratics... what's the point here?

Well...you're factoring it
I guess you could get the roots
But how do you get to the quadratics?

Yeah, we can.

like bd=-5

Like for example, we have \(\sqrt2{}\) as a root, then a factor would be \(\rm x^2 - 2\).