Wagner Chapter 8

Writing Polynomials in Standard Form

100

𝗣𝘂𝘁 𝘁𝗵𝗲 𝗲𝗾𝘂𝗮𝘁𝗶𝗼𝗻 𝗶𝗻 𝘀𝘁𝗮𝗻𝗱𝗮𝗿𝗱 𝗳𝗼𝗿𝗺.

6-x³

-x³+6

200

𝗣𝘂𝘁 𝘁𝗵𝗲 𝗲𝗾𝘂𝗮𝘁𝗶𝗼𝗻 𝗶𝗻 𝘀𝘁𝗮𝗻𝗱𝗮𝗿𝗱 𝗳𝗼𝗿𝗺.

-x+4+x⁴

x⁴-x+4

300

𝗣𝘂𝘁 𝘁𝗵𝗲 𝗲𝗾𝘂𝗮𝘁𝗶𝗼𝗻 𝗶𝗻 𝘀𝘁𝗮𝗻𝗱𝗮𝗿𝗱 𝗳𝗼𝗿𝗺.

3x+3-x²⋅x

-x³+3x+3

400

𝗣𝘂𝘁 𝘁𝗵𝗲 𝗲𝗾𝘂𝗮𝘁𝗶𝗼𝗻 𝗶𝗻 𝘀𝘁𝗮𝗻𝗱𝗮𝗿𝗱 𝗳𝗼𝗿𝗺.

4-1x+2x-1+x⋅3x²

3x³+x+3

500

𝗣𝘂𝘁 𝘁𝗵𝗲 𝗲𝗾𝘂𝗮𝘁𝗶𝗼𝗻 𝗶𝗻 𝘀𝘁𝗮𝗻𝗱𝗮𝗿𝗱 𝗳𝗼𝗿𝗺.

(3x*2x)/x²+2x-3

2x+3

Adding/Subtracting

100

𝗦𝗼𝗹𝘃𝗲.

(x+2)+(2x-1)

3x+1

200

𝗦𝗼𝗹𝘃𝗲.

(3x+2)-(-2x²+x-6)

2x²+2x+8

300

𝗦𝗼𝗹𝘃𝗲.

(3x⁴-x+22)-(2x⋅-x³-2)

5x⁴-x+24

400

𝗦𝗼𝗹𝘃𝗲.

(2x ⋅ x)+(x²-1)-(3x-10)

3x²-3x+9

500

𝗦𝗼𝗹𝘃𝗲.

(2x⋅4x)-(-2x²/2)+(x+3x-1x)

9x²+3x

Multiply/Divide

100

𝗦𝗼𝗹𝘃𝗲.

(x-2) ⋅ (2x-3)

2x²-7x+6

200

𝗦𝗼𝗹𝘃𝗲.

(2x-30)/(1+1)

x-15

300

𝗦𝗼𝗹𝘃𝗲.

(16x³+6x²)/(4x⋅x/2)

8x+3

400

𝗦𝗼𝗹𝘃𝗲.

(6x⋅1x)/((6⋅x) ⋅ (1x⋅1x))

1/x

500

𝗦𝗼𝗹𝘃𝗲.

((5x⋅2x²)+13x²)/(9x/(4+5))

10x²+13x

Factoring Expressions

100

𝗙𝗮𝗰𝘁𝗼𝗿 𝘁𝗵𝗲 𝗲𝘅𝗽𝗿𝗲𝘀𝘀𝗶𝗼𝗻.

x²+4x+4

(x+2)(x+2)

200

𝗙𝗮𝗰𝘁𝗼𝗿 𝘁𝗵𝗲 𝗲𝘅𝗽𝗿𝗲𝘀𝘀𝗶𝗼𝗻.

x²+15x+56

(x+8)(x+7)

300

𝗙𝗮𝗰𝘁𝗼𝗿 𝘁𝗵𝗲 𝗲𝘅𝗽𝗿𝗲𝘀𝘀𝗶𝗼𝗻.

9x²+18x+9

(x+1)(9x+9)

400

𝗙𝗮𝗰𝘁𝗼𝗿 𝘁𝗵𝗲 𝗲𝘅𝗽𝗿𝗲𝘀𝘀𝗶𝗼𝗻.

2x²+17x+26

(x+2)(2x+13)

500

𝗙𝗮𝗰𝘁𝗼𝗿 𝘁𝗵𝗲 𝗲𝘅𝗽𝗿𝗲𝘀𝘀𝗶𝗼𝗻.

18x²+33x+12

3(2x+1)(3x+4)

Factoring Special Cases

100

𝗙𝗮𝗰𝘁𝗼𝗿 𝘁𝗵𝗲 𝗲𝘅𝗽𝗿𝗲𝘀𝘀𝗶𝗼𝗻.

x²-9

(x+3)(x-3)

200

𝗙𝗮𝗰𝘁𝗼𝗿 𝘁𝗵𝗲 𝗲𝘅𝗽𝗿𝗲𝘀𝘀𝗶𝗼𝗻.

x²-8x+16

(x-4)²

300

𝗙𝗮𝗰𝘁𝗼𝗿 𝘁𝗵𝗲 𝗲𝘅𝗽𝗿𝗲𝘀𝘀𝗶𝗼𝗻.

25x²-36

(5x+6)(5x-6)

400

𝗙𝗮𝗰𝘁𝗼𝗿 𝘁𝗵𝗲 𝗲𝘅𝗽𝗿𝗲𝘀𝘀𝗶𝗼𝗻.

x²-14x+49

(x+7)²

500

𝗙𝗮𝗰𝘁𝗼𝗿 𝘁𝗵𝗲 𝗲𝘅𝗽𝗿𝗲𝘀𝘀𝗶𝗼𝗻.

x²-26x+169

(x-13)²