Factoring Polynomials Review

Polynomial Information

100

The  degree of the following polynomial

       5x³y² - 4x²y + 3xy + 6

5

200

Name the polynomial

3x²y

monomial

300

Name the polynomial and state its degree

3x² + 4x

binomial with degree 2

400

3 in the following trinomial is the ________

3x² -5x + 7

leading coefficient

500

Write the following polynomial in standard form

-x + 2x² - 12 +x⁵ - 8x³

x⁵ - 8x³ + 2x² - x - 12

Add/Subtract/Multiply

100

Simplify the following polynomial expression

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

4x + 11

200

Simplify the following polynomial expression

(3m - 6n) - (2m + n)

m - 7n

300

Simplify the following polynomial expression

3x(x² + 2x - 6) + 4(x² + 6x + 2)

3x³ + 10x² + 6x + 8

400

Simplify the following polynomial expression

(n + 3)(n - 2)

n² + n - 6

500

Simplify the following polynomial expression

(3x + 2)(2x - 5)

6x² - 11x - 10

Factoring using GCF or Grouping

100

Factor the following completely

4x + 10

2(2x + 5)

200

Factor the following completely

24x² - 8x

8x (3x - 1)

300

Factor the following completely

5x² - 20

5 (x - 2)(x + 2)

400

Factor the following completely

2p³ + 5p² + 6p + 15

(p² + 3) (2p + 5)

500

Factor the following completely

40xy + 30x - 100y - 75

5 (2x - 5)(4y + 3)

Factoring Trinomials

100

Factor the following trinomial completely

x² - 6x + 9

(x - 3)²

200

Factor the following trinomial completely

m² + 8m + 7

(m + 7)(m + 1)

300

a² + 11a +18

(a + 9)(a + 2)

400

n² - n - 56

(n - 8)(n + 7)

500

b² -6b + 8

(b - 4)(b - 2)

Factoring Trinomials a>1

100

Factor the following trinomial completely

7x² + x - 8

(7x + 8)(x - 1)

200

Factor the following trinomial completely

8y² - 34y + 36

2 (4y - 9)(y - 2)

300

6x² - 18x - 24 

6(x - 4)(x + 1)

400

7r² - 14r + 7

7(r - 1)²

500

Factor the following trinomial completely

6x² - 63x + 120

3(2x - 5)(x - 8)