Question

how do you find real roots of an equation eg:
xcubed-2x squared-13x-10=0

Answer 1

well you can look at the factors of the constant -10 call them p and the factors of the coefficient of the cubic term... call them q

the the possible factors of the polynomial are p/q

so look at

\[-10: \pm 1, \pm 2, \pm 5 \pm 10. \]

\[1: \pm 1\]

so try -1/1

(-1)^3 - 2(-1)^2 - 13(-1) - 10 = 0

so (x + 1) is a factor...

so next do some synthetic division or polynomial division to find the factors...

Answer 2

thanks hey I found exact answers