Polynomial Information
Simplifying Polynomials
Factoring Basics
Factoring Trinomials
Solving Quadratics
100

The  degree of the following polynomial

       5x3y2 - 4x2y + 3xy + 6


5

100

Simplify the following polynomial expression

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

4x + 11

100

Factor the following completely

4x + 10

2(2x + 5)

100

Factor the following trinomial completely

x2 - 6x + 9

(x - 3)2

100

solve by using the zero product property

(4x + 5)(x + 1) = 0

{-1, -5/4}

200

Name the polynomial

3x2y

monomial

200

Simplify the following polynomial expression

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

m - 7n

200

Factor the following completely

24x2 - 8x

8x (3x - 1)

200

Factor the following trinomial completely

m2 + 8m + 7

(m + 7)(m + 1)

200

solve by factoring and using the zero product property

n2 + 7n + 10 = 0

{-5, -2}

300

Name the polynomial and state its degree

3x2 + 4x

binomial with degree 2

300

Simplify the following polynomial expression

3x(x2 + 2x - 6) + 4(x2 + 6x + 2)

3x3 + 10x2 + 6x + 8

300

Factor the following completely

5x2 - 20

5 (x - 2)(x + 2)

300

Factor the following trinomial completely

7x2 + x - 8

(7x + 8)(x - 1)

300

solve by factoring and using the zero product property

6x2 - 18x - 24 = 0

{-1, 4}

400

3 in the following trinomial is the ________

3x2 -5x + 7

leading coefficient

400

Simplify the following polynomial expression

(n + 3)(n - 2)

n2 + n - 6

400

Factor the following completely

2p3 + 5p2 + 6p + 15

(p2 + 3) (2p + 5)

400

Factor the following trinomial completely

6x2 - 63x + 120

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

400

solve by factoring and using the zero product property

7r2 - 14r = -7

{1}

500

Write the following polynomial in standard form

-x + 2x2 - 12 +x5 - 8x3

x5 - 8x+ 2x2 - x - 12

500

Simplify the following polynomial expression

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

6x2 - 11x - 10

500

Factor the following completely

40xy + 30x - 100y - 75

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

500

Factor the following trinomial completely

8y2 - 34y + 36

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

500

solve by factoring and using the zero product property

15a2 - 3a = 3 - 7a

{-3/5, 1/3}

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