Polynomials jeopardy

Identifying and naming polynomials

100

What is the degree name of this polynomial? 

3x + 4y + 5 - 7

Linear

200

What is the name for the polynomial -4x³+801y²?

cubic binomial 

300

Name the polynomial:

6x² + 4xy + 2x

quadratic trinomial

400

Name this polynomial?

2x³ - 5x -2 + x⁴ +10

fourth degree polynomial 

500

What is the name of this Polynomial?

(x²)*(y³)-(x²)+3-18-9x

fifth degree polynomial 

Standard form

100

What is 5x³ + 7y²+ 8x³ + 2 in standard form?

13x³+7y²+2

200

Convert this into standard form:

4x³ + 6x²y³ + 1 - 2y⁴

6x²y³-2y⁴+4x³+1

300

What is  x+x+42+5xy²+2x²y²+x²y+3 in standard form?

2x²y²+x²y+5xy²+2x+45

400

Write a linear binomial with a leading coefficient of 9 and a variable x.

Any polynomial with two terms that starts with 9x and isn't a higher degree.

500

Put this in standard form: xy³-y¹⁶+42x+5y³+x¹⁶-3x³-12

x¹⁶-y¹⁶+xy³-3x³+5y³+42x-12

Multiplying polynomial

100

(x+1)(x-2)

x²-x-2

200

4x(7x+3)

28x²+12x

300

Solve and write in standard form:    (3x+4)(2x-10)

6x²-22x-40

400

4x(x³ + y⁴ + 7x²y⁵- 8y³ + 2x⁵y)

28x³y⁵+ 8x⁶y+ 4xy⁴ +4x⁴ - 32xy³ 

500

 A given polygon has n sides of equal length equal to 3n-1 and a cross section parallel to the sides equal to 8n²+12n+4. What is the area of the polygon? 

6x⁴+7n³-n

special product properties

100

(2a+b)²

4a²+4ab+b²

200

(5+y²)(5-y²)

25-y⁴

300

a²+ab⁷+4b³ is a square of a sum. Is this correct or incorrect?

Incorrect

400

(5x²-4)²

25x⁴-40x²+16

500

 (a⁴- b² + 3) (b² + a⁴ -3) 

a⁸ - b⁴ - 9

Adding and subtracting polynomials

100

(2x + 3y +2) - (-6x + 2y - 7)

8x + y + 9

200

(4x⁴+3x)-(x²-2x)

4x⁴-x²+5x

300

(-3x³+7-x⁴) + (-2x⁴+2x³-y⁵-13)

-y⁵-3x⁴-x³-6

400

(4x²+yx³)-(2x²-2yx³)+(x²-yx³)

-2x³y+3x²

500

Bob wanted to paint 3 of the walls in his room red. The area of the walls in his room combined is (8x² + 64x-6) feet squared. One wall has an area of (4x²-36) feet squared. How many square feet does he need to paint?

4x² + 64x + 30

Miscellaneous

100

What is the degree of a quadratic polynomial? 

2

200

What is (x⁴+ 3)² in standard form?

x⁸+6x⁴+9

300

(2x+5y³)(2x-5y³)

4x²-25y⁶

400

A rectangular prism has side lengths of:

(x+2),y² and (3x²+1) - (4+2x²) Find the volume.

 x³y²+2x²y²-3xy²-6y²

500

4x³ + 5xy⁷+ 5y⁶ + 7x⁷ + 8y³ + 16x⁴y⁷ + 11y⁶ + x⁴ + y⁴ + 10x⁷y⁵ + 14x⁸ + 7x³y²z⁸ Simplify and name.

7x³y²z⁸+10x⁷y⁵+16x⁴y⁷+14x⁸+5xy⁷ +7x⁷+16y⁶+x⁴+y⁴+4x³+8y³

13th degree polynomial.