Algebra Review-Polynomials & Factoring

Classifying Polynomials

100

Classify the following polynomial by degree and number of terms

-7x² + 4x -1

Quadratic Trinomial

200

Classify the following polynomial by degree and number of terms

2x⁴ - x³ + 5x² + x - 7

Quartic Polynomial

300

Order the polynomial in standard form 

4x - 1 + 5x²

5x² + 4x - 1

400

Order the polynomial in standard form

a² + 2b³ + 2ab - a³

a³ + a²+ 2ab - 2b³

500

Order the polynomial in standard form

9x⁴ - 4 - 2x² + 7x - 8x³ + x⁵ 

x⁵ + 9x⁴ - 8x³ - 2x² + 7x - 4

Adding & Subtracting Polynomials

100

Add the Polynomials:

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply: 

7(4x-7)

28x - 49

200

Multiply the Polynomials:

3(2x + 4x² - 5)

12x² + 6x - 15

300

Multiply the binomials: 

(x + 5)(x - 6)

x² - x -30

400

Multiply the Polynomials:

(3x-6)(5x+3)

15x²-21x-18

500

Multiply the following polynomials:

(3r+ 5)²

9r² + 30r + 25

GCF

100

Factor each polynomial by finding GCF

7x + 49

7(x + 7)

200

Factor each polynomial by finding GCF

36a² + 24a

12a(3a + 2)

300

Factor each polynomial by finding GCF

81m + 48mn

3m(27 + 16n)

400

Factor each polynomial by finding GCF

36ab² - 48a²b

12ab(3b - 4a)

500

Factor each polynomial by finding GCF

10x³y² - 2xy² + 14xy

2xy(5x² y - y + 7)

Difference of Squares & Factoring Quadratics

100

Factor the polynomial:

x² - 36

(x +6)(x-6)

200

Factor the polynomial:

a²b² - 100

(ab + 10)(ab - 10)

300

Factor the polynomial:

x² - 11x + 28

(x - 4)(x - 7)

400

Factor the polynomial:

x² - 14x - 51

(x - 17)(x + 3)

500

Factor the polynomial: (factor fully for full points)

4w² - 52w - 120

4(w² - 13w - 30)

4(w - 15)(w + 2)