Given a polynomial in random order state
Add/subtract/multiply/rewrite polynomial expressions
Given a polynomial in standard form state
Given a polynomial in factored form identify where it crosses or “bounces off” of the x-axis.
Add/subtract/multiply/divide rational expressions.
100

What is 5?

In the expression 7x^2 - 4x^5 + 2, this is the degree.

100

What is 5x^2+ 4?

 (3x^2 + 5) + (2x^2 - 1)

100

What is the constant term?

In p/q, the letter p represents the factors of this term.

100

What are 4 and -2?

The root(s) of f(x) = (x - 4)(x + 2).

100

What is a common denominator?

To add 1/x and 1/y, you must find this first.

200

What is "Touchdown Down" (or both ends point down)?

f(x) = - -3x^4+ 2x — 1, this describes the end behavior.

200

What is 5?

Simplify (x^2 - 4) - (x^2 - 9)

200

What are +1 and +3?

The p values (factors of the constant) for 2x^2 + 5x - 3.

200

What is "bounces off" (or touches)?

At (x - 5)^2, the graph does this at the x-axis.

200

What is x + 4?

Simplify x^2-16/x-4

300

What is 6?

The maximum number of turning points for a 7th-degree polynomial.

300

What is x^2 - 9?

The result of (x + 3)(x - 3).

300

What are ‡1, +2, +4?

The q values (factors of the leading coefficient) for 4x^3 - x + 6.

300

What is "crosses"?

At (x + 1)^3, the graph does this at the x-axis.

300

What is x/2?

Simplify 5/x * x^2/10

400

The leading coefficient of f(x) = 12 + 5х^2 -х^3

What is -1?

400

What is x^2 + 4x + 4?

The expanded form of (x + 2)^2

400

What are +1, +2, +1/3, ‡2/3?

A list of all possible rational roots for 3x^2 - 5x + 2.

400

What is 3?

The number of times f(x) = x^2(x - 1) (x + 8)^4 touches or crosses the x-axis.

400

What is 1/2?

The results of 1/x / 2/x

500

What is "The Travolta"?

This nickname describes the end behavior of an odd-degree polynomial

500

What is x^3 - 1?

Multiply (x - 1)(x^2+ x + 1).

500

What are +1, +2, +3, +6?

Use the Rational Root Theorem to find the only possible integer roots for x^3-7x + 6.

500

What is x (x + 3)^2? (Accept any even power for 3 and odd for 0).

A polynomial with a bounce at -3 and a cross at 0 could have this factored form.

500

What is 3/x-3?

Simplify x+2/x-3 - x-1/x-3