questions are on attachment!!!
1. Solve $\displaystyle 4x^4+12x^3+x^2-12x+4=0$
First sketch the curve $\displaystyle y=4x^4+12x^3+x^2-12x+4$.
This appears to have a double root at $\displaystyle x=-2$, and it
checks out that $\displaystyle x=-2$ is a root. Then dividing out gives:
$\displaystyle 4x^4+12x^3+x^2-12x+4=(x+2)^2(4x^2-4x+1)$,
from which the remaining roots can be found using the quadratic formula on:
$\displaystyle 4x^2-4x+1=0$.
RonL
2. Solve $\displaystyle x^3-4x^2-10x+4=0$
Use the same method as I suggested for part 1. Sketch the curve, looks
like a root at $\displaystyle x=-2$ which checks out as a root. So $\displaystyle x-2$ is a
factor of $\displaystyle x^3-4x^2-10x+4$, so divide it out to leave
a quadratic which can then be solved using the quadratic formula.
RonL