Polynomials Quiz Review

Polynomial Classifications

100

What do you call a polynomial with 3 terms?

A Trinomial

200

How do you know if a polynomial is quadratic?

If its degree is 2

300

What type of polynomial is this?

3x² - 5

Quadratic Binomial

400

What are the "red flags" that indicate that an expression is NOT a polynomial?

A variable in the denominator of a fraction

A negative exponent

500

Which of these is not a polynomial?

15

2x+4

4y^-2 - 3y + 1

4y^-2 - 3y + 1

Degree and Standard Form

100

What is the degree of this monomial?

5x³y⁴

7

200

What is the degree of this polynomial?

6c³ + 2c² - 147c - 98

3

300

Write this polynomial in standard form:

14p + 6p⁴ - 3p² + 2

6p⁴ - 3p² +14p + 2

400

What is the leading coefficient of this polynomial?

4x + 12 + 2x³ - 3x²

2

500

What is the degree of this polynomial?

6x⁴ + 5x² - 24x³ + x - 3x⁷

7

Adding/Subtracting

100

(6s + 5t) + (4t + 8s)

14s + 9t

200

(11m - 7n) - (2m + 6n)

9m - 13n

300

(x² - 3x) - (-2x² + 5x)

3x² - 8x

400

(-8xy+3x²-5y) + (4x²-2y+6xy)

7x² - 7y - 2xy

500

6g²-4g+2g²-7g+g-3+5g-4

8g²-5g-7

Multiplication/FOIL

100

7c(5 - 2c² + c³)

35c - 14c³ + 7c⁴

200

(4x+1)(6x-3)

24x² - 6x - 3

300

Find the area of a rectangle with length 5x and width (x+8)

Remember, Area = Length x Width

5x²+40x

400

4t³u (2t²u² - 10tu⁴ + 2)

8t⁵u³ - 40t⁴u⁵ + 8t³u

500

(3m + 4)(2m² - m + 4)

6m³ + 5m² + 8m + 16

Special Products

100

What pattern do you follow for the product of a sum and a difference?

a² - b²

200

(5r + 7)(5r - 7)

25r² - 49

300

How do you know if you are looking at a special product?

If both binomials have the same terms.

400

(x+7)²

x² + 14x + 49

500

(y - 4)(y - 4)

y² - 8y + 16