Question

How many and of which kind of roots does the equation f(x)=x4−2x3−11x2+12x+36 have?

Answer 1

we have the equation

f(x)=x^4-2x^3-11x^2+12x+36

using a graphing tool

the factors are

(x+2) ----> multiplicity 2

(x-3) -----> multiplicity 2

therefore

The answer is 4 real roots

option C