Polynomial Classifications
Degree and Standard Form
Adding/Subtracting
Multiplication/FOIL
Special Products
100

What do you call a polynomial with 3 terms?

A Trinomial
100

What is the degree of this monomial?

5x3y4

7

100

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

14s + 9t

100

7c(5 - 2c+ c3)

35c - 14c+ 7c4

100

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

a2 - b2

200

How do you know if a polynomial is quadratic?

If its degree is 2

200

What is the degree of this polynomial?

6c+ 2c- 147c - 98

3

200

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

9m - 13n

200

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

24x- 6x - 3

200

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

25r2 - 49

300

What type of polynomial is this?

3x2 - 5

Quadratic Binomial
300

Write this polynomial in standard form:

14p + 6p- 3p+ 2

6p4 - 3p2 +14p + 2

300

(x2 - 3x) - (-2x2 + 5x)

3x2 - 8x

300

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

Remember, Area = Length x Width

5x2+40x

300

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

If both binomials have the same terms.

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

400

What is the leading coefficient of this polynomial?

4x + 12 + 2x3 - 3x2

2

400

(-8xy+3x2-5y) + (4x2-2y+6xy)

7x2 - 7y - 2xy

400

4t3u (2t2u- 10tu+ 2)

8t5u- 40t4u+ 8t3u

400

(x+7)2

x+ 14x + 49

500

Which of these is not a polynomial?

15

2x+4

4y-2 - 3y + 1

4y-2 - 3y + 1

500

What is the degree of this polynomial?

6x4 + 5x2 - 24x3 + x - 3x7

7

500

6g2-4g+2g2-7g+g-3+5g-4

8g2-5g-7

500

(3m + 4)(2m- m + 4)

6m+ 5m+ 8m + 16

500

(y - 4)(y - 4)

y2 - 8y + 16

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