Polynomials Review

Naming/Standard Form

100

Identify the leading coefficient of the polynomial: 2n

2

200

Name the polynomial and identify the leading coefficient: 

3n²-2n

Quadratic binomial

3

300

Name the polynomial and identify the leading coefficient: 

-6x³+6x²+10

Cubic trinomial

-6

400

Rewrite in standard form(if necessary), identify the leading coefficient, and name the polynomial:

 6x⁴-3x³+7x²+4x-6

Not necessary

6

4th degree five term polynomial 

500

Rewrite in standard form(if necessary), identify the leading coefficient, and name the polynomial:

-8n³-2+6n⁷+4n⁴

6n⁷+4n⁴-8n³-2

6

7th degree four term polynomial

Operations with Polynomials

100

Simplify the expression:

(r³-4r⁴)+(4r⁴-2r³)

-r³

200

Simplify the following:

(-2b⁵-2b+6b²)-(12b-7b⁵+13b²)

5b⁵-7b²-14b

300

Simplify the following:

(6b-5)(4b+1)

24b²-14b-5

400

Simplify the following:

(3a²-a-7)(-6a²+5a+3)

-18a⁴+21a³+46a²-38a-21

500

Simplify the following and write answer as a polynomial:

(x⁴-8x²+3) ÷ (x-2)

x³+2x²-4x-8 r. -13

Factored Form/GCF/Special Cases

100

Solve each equation by factoring:

(x+3)(x-2)=0

{-3,2}

200

Solve each equation by factoring:

(5a-4)(8a+1)=0

{4/5, -1/8}

300

Solve each equation by factoring:

2b²-12b=0

{6,0}

400

Solve each equation by factoring:

x²=-5x

{-5,0}

500

Solve each equation by factoring:

-7a²=28a

{-4,0}

Factoring when a=1 and a≠1 (Might need GCF)

100

Solve each equation by factoring:

x²+12x+32=0

{-4,-8}

200

Solve each equation by factoring:

3n²+21n+18=0

{-6,-1}

300

Solve each equation by factoring:

2k²+14k-80=8k

{-8,5}

400

Solve each equation by factoring:

6k²+7k+2=0

{-1/2,-2/3}

500

Solve each equation by factoring:

10x²+17x+6=3x²

{-3/7,-2}