Polynomials Jeopardy!!

Vocabulary

100

What must be true in order for a polynomial to be in STANDARD FORM?

The degree of the terms must go in DESCENDING order 

200

What is the DEGREE of 2x⁴+9x³-5x²+6

4

300

Based on the number of terms, how would we classify this polynomial? 4y⁵+6xy-3x²

Trinomial

400

Write a quadratic trinomial

I'll check!

500

What is a Leading Coefficient?

It's the coefficient (number multiplied) on the HIGHEST DEGREE term

Adding/Subtracting Polynomials

100

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

4x + 14

200

(3x²+4x)+(2x²-3x)

5x²+x

300

(6x²+4)-(3x²+5)

3x²-1

400

(5x³+4x²-2x+2)+(2x³-2x²+x+5)

7x^3+2x^2-x+7

500

(6x³+4x²-4x+5)-(2x³-3x²+5x-5)

4x³+7x²-9x+10

Function Operations

100

f(x)= x² - 7

g(x) = 12-x

Find (f+g)(4)

17

200

f(x)= x² - 7

g(x) = 12-x

Find (f * g)(0)

-84

300

f(x)= x² - 7

g(x) = 12-x

Find (f(g(1))

114

400

f(x)= x² - 7

g(x) = 12-x

Find (g(g(x))

x

500

f(x)= x² - 7

g(x) = 12-x

Find (f(g(x)) in standard form

x²-24x+137

Multiplying Polynomials

100

17(5x+30)

85x+510

200

3x(2x - 8)

6x² -24x

300

(2x-4)(3x-2)

6x² -16x+8

400

(2x+6)(x²-5x-2)

2x³-4x²-34x-12

500

(3x²-5)²

9x⁴-30x²+25

Factoring by GCF and/or DOTS

100

Factor the GCF: 17x⁵-x⁴

x⁴(17x-1)

200

Factor the GCF: 4m³+12m⁴-2m

2m(2m²+6m³-1)

300

Factor: p²-81

(p+9)(p-9)

400

Factor: 16x³-64x

16x(x+4)(x-4)

500

Factor completely: -81x⁴+16

(4+9x²)(2+3x)(2-3x)

OR

-1(9x²+4)(3x+2)(3x-2)