Find the x-intercepts of the graph of f(x)=x2−6x+2.
Graph f(x)=3−(x+2)2.
Find the vertex of the parabola described by y=−7x2+14x+3.
Find the domain of the function f(x)=x2−1x2+3x−4.
Find the quotient and remainder of x3−2x2−5x+6x+2.
Graph the polynomial function P(x)=x5−4x3.
Find all of the zeros of f(x)=2x3−2x2−8x+8, given that 2 is one of the zeros.
Find the quotient that results from: −6x3+x2+17x+32x+3.
Use the Remainder Theorem to find the value P(−2) of the polynomial P(x)=x4+5x3−7x2+9x+17.
Find all rational roots of the equation x3−5x2−4x+20=0 and then find the irrational roots if there are any.
Find the zeros of the polynomial function f(x)=x4+x3−15x2.
For P(x)=2x18−5x13+6x3−5x+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)=(x2−4)(x+2)2.
Determine how many positive and how many negative real zeros the polynomial function P(x)=3x6+2x3−7x2+8x can have.
Find the horizontal and vertical asymptotes of the graph of
f(x)=2x2+3x2−x−20.
Write an equation that expresses the statement “y is directly proportional to x and inversely proportional to the square of t.”
In Problem17, 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
C=x2−30x+335(dollars).
Find the value of x for which the cost is minimum.
From a rectangular 8×17 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.