Find the x-intercepts of the graph of $f(x)=x^2-6x+2.$

Graph $f(x)=3-{(x+2)}^2.$

Find the vertex of the parabola described by $y=-7x^2+14x+3.$

Find the domain of the function $f(x)={\displaystyle \frac{x^2-1}{x^2+3x-4}}.$

Find the quotient and remainder of ${\displaystyle \frac{x^3-2x^2-5x+6}{x+2}}.$

Graph the polynomial function $P(x)=x^5-4x^3.$

Find all of the zeros of $f(x)=2x^3-2x^2-8x+8,$ given that 2 is one of the zeros.

Find the quotient that results from: ${\displaystyle \frac{-6x^3+x^2+17x+3}{2x+3}}.$

Use the Remainder Theorem to find the value $P(-2)$ of the polynomial $P(x)=x^4+5x^3-7x^2+9x+17.$

Find all rational roots of the equation $x^3-5x^2-4x+20=0$ and then find the irrational roots if there are any.

Find the zeros of the polynomial function $f(x)=x^4+x^3-15x^2.$

For $P(x)=2x^{18}-5x^{13}+6x^3-5x+9,$ list all possible rational zeros found by the Rational Zeros Test, but do not check to see which values are actually zeros.

Describe the end behavior of $f(x)={(x+3)}^3{(x-5)}^2.$

Find the zeros and the multiplicity of each zero for $f(x)=(x^2-4){(x+2)}^2.$

Determine how many positive and how many negative real zeros the polynomial function $P(x)=3x^6+2x^3-7x^2+8x$ can have.

Find the horizontal and vertical asymptotes of the graph of

Write an equation that expresses the statement “y is directly proportional to x and inversely proportional to the square of t.”

In Problem 17, suppose $y=6$ when $x=8$ and $t=2.$ Find y if $x=12$ and $t=3.$

The cost C of producing x thousand units of a product is given by

Find the value of x for which the cost is minimum.

From a rectangular $8\times 17$ piece of cardboard, four congruent squares with sides of length x are cut out, one at each corner. The sides can then be folded to form a box. Find the volume V of the box as a function of x.