y=x^4

Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros 0 and i.

Find a polynomial of the specified degree that has the given zeros. Degree 4, zeros -2, 0, 2, 4

y=x^3

Expand the polynomial (6-5s)(7-s).

Please, factor this polynomial: $x^3+1$

Find a cubic polynomial function f with real coefficients that has the given complex zeros and x-intercept. (There are many correct answers. Expand your answer completely.)
Complex Zeroes
${\displaystyle x=2\pm \sqrt{2}i}$
X-Intercept (5,0)

Simplify each rational expression. You will need to use factoring by grouping.
${\displaystyle \frac{x^2-2x+ax-2a}{x^2-2x+3ax-6a}}$