Question

If 3 and -3 are two zeros of the polynomial $(x^4+x^3-11x^2-9x+18)$, find all the zeros of the given polynomial.

Answer 1

3 and -3 are the two zeros of the polynomial $(x^4+x^3-11x^2-9x+18)$

Therefore, $(x–3)(x+3)=x^2–9$ is a factor of given polynomial

Therefore, Dividing the given polynomial by $x^2–9$

Therefore, Quotient $q\left(x\right)=x^2+x–2$

Other zeros of given polynomial are -2 and 1

So zeros of given polynomial are 1, -2,3 and -3