Find a polynomial with zeroes at – 1, 0, and 3. Write the function in standard form.
Find a polynomial with a triple root a 7, and no other zeros. Write the function in standard form.
Graph a function and find the zeroes of the function.
f(x) = x3 + 3
f(x) = 2x3 – 2x
Draw the graph of y = (x – 1)2. Find the zeroes of the function and their multiplicity.
Draw the graph of y = (x – 1)2(x – 2)(x – 3). Find the zeroes of the function and their multiplicity.
Draw the graph of y = x(x + 1)2. Find the zeroes of the function and their multiplicity.
Sketch the function, and then approximate the real zeros to the nearest tenth.
r(x) = x5 + 2x4 – 2x3 – 3x2 + 1
h(x) = x3 – 2x2 + 1
To shorten the list of possible rational zeros, use the graph shown. Then determine all the real zeros of the function f(x) = 8x3 – 30x2 – 3x + 35.
To shorten the list of possible rational zeros, use the graph of the given function and determine all the real zeros:
f(x) = 2x3 – 5x2 – 4x + 3
f(x) = 2x4 + x3 – 7x2 – 4x – 4
f(x) = 3x5 + x4 – 243x – 81
The sides of a box have the following relationship:
The width of the box is 4 ft less than its length, and the height of the box is 2 ft less than its length.
Suppose the volume of the box is 105 ft3 , what is its length?
