Please write a polynomial function \(p\) having the given characteristics: Degree: \(3\) Zeros: \(-2, 3 + i\) Leading coefficient: \(5\)

Solve the inequality. \(x(x+3)(5-x)\ge0\)

LIST all the possible rational zeros of the following polynomial function (you do not need to find the actual rational zeros). \(f(x)=5x^3-x^2+2\)

Please, write the equation of the vertical asymptotes of the following rational function. \(f(x) = \frac{x^2(x – 4)}{(x + 3)^2(x – 1)}\)

What are the \(x\)-intercepts of the following rational function? \(f(x) = \frac{x^2(x – 4)}{(x + 3)^2(x – 1)}\)

Use the given zero to find the remaining zeros of the function. \(f(x) = x^3 + 6x^2 – 14x + 16\); zero: \(1 + i\)

What IS TRUE about the end behavior of the following function? \(f(x)=\frac{-x^2+16}{x^2+5x+4}\)

What is the degree of a polynomial function with real coefficients having the following zeros? If the multiplicity of a zero is not specified, please assume that it is 1. \(-3\), \(0\) with multiplicity \(3\), \(1\) with multiplicity \(2\), and \(2 – 5i\)

If a function is positive on the interval \((-3,0)\cup(2,\infty)\), what can be said about its graph on the same interval?

Leaves appear green because chlorphyll a absorbs mostly green wavelengths.