Polynomials Jeopardy!!

Vocabulary

100

How many terms are in a trinomial?

Three

200

What is the DEGREE of 2x⁴+9x³-5x²+6

4

300

How many terms are in this polynomial? 4y⁵+6xy-3x²

Three

400

Classify the polynomial by degree and number of terms:

4x³y + 6y

Fourth degree binomial.

500

Classify the polynomial by degree and number of terms:

3x²y + 5x³y + 6y⁴

Fourth degree trinomial

Adding Polynomials

100

(x+5)+(3x+9)

4x + 14

200

(3x²+4x)+(2x²-3x)

5x²+x

300

(-4x²+2x-3)+(5x²-4x+8)

x²-2x+5

400

(8x²-4x+3)+(7x²+2x-11)

15x²-2x-8

500

(5x³+4x²-2x+2)+2(2x³-2x²+x+5)

9x³+12

Subtracting Polynomials

100

(7x+4)-(5x+8)

2x-4

200

(6x²+4)-(3x²+5)

3x²-1

300

(2x-4)-2(4x-2)

-6x

400

(6x²-5x+8)-(4x²-7x+9)

2x²+2x-1

500

(6x³+4x²-4x+5) - (2x³-3x²+5x-5)

4x³ + 7x² - 9x + 10

Multiplying Polynomials

100

(3x+1)(2x+3)

6x²+12x+3

200

(2x - 5)²

4x² - 20x + 25

300

(2x-4)(3x²-6x+1)

6x³-24x²+26x-4

400

A portrait without its frame has a height 2 times its width w in inches. Its frame is 3 in. wide all along its perimeter. What is an expression for the area of the framed portrait in terms of w? Simplify your expression and write it in standard form.

2w² + 18x + 36

500

A square picture has a 2-in frame around it. If the area of the frame alone is 96 in², what is the area of the picture?

100 in²

Factoring Polynomials

100

The GCF of 14a + 21a² + 21a³.

What is 7a?

200

Factor out the GCF:

-28v² - 8v - 36

-4(7v² + 2v + 9)

300

Factor out the GCF:

9x⁶ - 63x³ - 90x²

9x²(x⁴ - 7x - 10)

400

Factor out the GCF:

12a⁴b³c² - 4a³bc² + 8a²c - 16ab

4a(3a³b³c² - a²bc² + 2ac - 4b)

500

A polynomial that cannot be factored.

What is a prime polynomial?