Unit 1 Jeopardy Review

Intro to Polynomials

100

What is the degree of the polynomial:

3x²+7x-2

2

200

The expression 3x³-2x^-2+2 is not a polynomial. Why?

Polynomials cannot have negative exponents.

300

What is the leading coefficient of the polynomial:

-2x³+x-5

-2

400

What is the standard form of the polynomial:

-2x+5x⁴-6+x³

5x⁴+x³-2x-6

500

What is the name of the polynomial 6x³-2x+7 based on degree and number of terms?

Cubic Trinomial

Addition

100

(3x²+4x+5)+(2x²+6x+3)=

5x²+10x+8

200

(x³+2x²-x+4)+(3x³-x²+5x-2)=

4x³+x²+4x+2

300

(5y²-3y+7)+(2y²+4y-1)=

7y²+y+6

400

(6a³-4a²+3a-8)+(a³+2a²-5a+6)=

7a³-2a²-2a-2

500

(7m²+3m-9)+(-2m²+5m-4)=

5m²+8m-13

Subtraction

100

 (4x²+5x-3)-(2x²-x+1)=

2x²+6x-4

200

 (3y³-y²+4y-8)-(y³+2y²-3y+5)=

2y³-3y²+7y-13

300

 (6a²-4a+9)-(3a²-5a+2)=

3a²+a+7

400

 (x⁴+2x³-x+6)-(x⁴-3x³+4x-2)=

5x³-5x+8

500

(7m³+5m²-3m+1)-(2m³-3m²+m-4)=

5m³+8m²-4m+5

Multiplication

100

(x+2)(x+3)=

 x²+5x+6

200

 (x²+3x+2)(x-1)=

 x³+2x²-x-2

300

(2x-8)(2x+8)=

4x²-64

400

(3x+4)²=

9x²+24x+16

500

(3x-2)³=

27x³-54x²+36x-8

Division

100

(x²+5x+6)/(x+2)=

x+3

200

(x³-4x²-x+4)/(x²-1)=

x-4

300

(x³+2x²-x-2)/(x-1)=

 x²+3x+2

400

(x³+2x²+3x+4)/(x²+1)=

x+2+(2x+2)/(x²+1)

500

(2x³-3x²+4x+5)/(x-1)=

2x²-x+3+(8)/(x-1)