Polynomials Review

Classifying Polynomials/Standard form

100

Put this equation in standard form:

3x²-x³+x

-x³+3x²+x

200

Classify the following polynomial:

3x²-3x+1

Quadratic Trinomial

300

Put this equation in standard form:

a²+3a⁴-7a+2a³-4

3a⁴+2a³+a²-7a-4

400

Classify this polynomial:

3x⁴-x³+5x²+x-7

Quartic, Polynomial

500

Put this polynomial in standard form:

3x²y³z+4x³y²z⁴-5xyz²+8x⁴yz³

8x⁴yz³+4x³y²z⁴+3x²y³z-5xyz²

Simplifying Polynomials

100

(2x²+3x+2)+(-x²+4x+1)

x²+7x+3

200

5c²d(9c²d²-4c³d-2)

45c⁴d³-20c⁵d²-10c²d

300

(x-1)(4x-3)

4x²-7x+3

400

(5y-1)²

25y²-10y+1

500

-4y(5y-11)-2y(2y+10)

-26y²+24y

Factoring/GCF

100

54x³y-18x²y²+27xy²

9xy(6x²-2xy+3y)

200

48w²-36w

12w(4w-3)

300

n³-5n²-50n

n(n²-5n-50)

400

64y⁴-16y⁶

16y⁴(2+y)(2-y)

500

30m⁴n³-12m³n²+6m²n

6m²n(5m²n²-2mn+1)

Difference of Squares

100

x²-81

(x+9)(x-9)

200

a²-25b²

(a+5b)(a-5b)

300

45m³n-5mn

5mn(3m+1)(3m-1)

400

98x-8x³

2x(7+2x)(7-2x)

500

50a³b-8ab

2ab(5a+2)(5a-2)

Trinomials/Grouping

100

x³+16x²+64x

x(x+8)²

200

3x³-21x²+2x-14

(3x²-2)(x-7)

300

x²+19x+78

(x+6)(x+13)

400

m³-m²n+m-n

(m²+1)(m-n)

500

4x³-x²y+8xy-2y²

(x²+2y)(4x-y)