Name: 

Which graph represents an odd-degree polynomial function with two x-intercepts?

Which graph represents an even-degree polynomial function with a y-intercept of 9?

How many x-intercepts are possible for the polynomial function ?

If is divided by , then the restriction on x is

What is the remainder when is divided by ?

If is divided by , what is the remainder?

If is divided by , what is the remainder?

Determine the value of k so that is a factor of .

One root of the equation is

The graph that corresponds to the function is

a) Use long division to divide x³ + 3x² – 7 by x + 2. Express the result in quotient form.
b) Identify any restrictions on the variable.
c) Write the corresponding statement that can be used to check the division.
d) Verify your answer.

Factor fully.
a) –n³ – 4n² – 4n
b) 12x³ + 16x² – 5x – 3
c) 2x⁴ + x³ – 10x – 5

Solve.
a) 3x³ + 2x² – 8x + 3 = 0
b) 2x³ + x² – 10x – 5 = 0
c) 5x⁴ = 7x² – 2

a) If x + 1 is a factor of ax⁴ + bx² + c, what is the value of a + b + c?
b) Decide if x + 1 is a factor of each polynomial. Explain your reasoning.
      i) 3x⁴ + 3x² – 6
      ii) 17x⁴ – 10x² – 7
      iii) x⁴ + x² + 1

Maria is designing a series of stationery trays for holding paper and envelopes. Each tray starts as a rectangular sheet of metal from which identical squares are cut from the four corners. The resulting rectangular flaps are then folded up and welded to produce an open-topped rectangular tray. What size square should Maria cut from a rectangular sheet of metal 15 cm by 25 cm in order to produce a tray with a volume of 476 cm³? Round to the nearest hundredth of a centimetre, if necesary.

Determine an equation in factored form for the polynomial function represented by the graph