Question

How do you solve the equation X^3+4X^2-21X=0 and find the number and types of roots in it?

Answer 1

there seems to be only one root and that is
\[\pm0\]

Answer 2

the number of roots is equal to the degree of the leading term. These roots may be real or complex.

the equation can be solved by 1st factoring

Answer 3

factor out x, so it's

\[x(x^2 + 4x - 21) \]

then factor the quadratic equation

hope it makes sense