IM3 Review for CT2

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

Simplifying Polynomials

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 Basics

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

Factor the following trinomial completely

7x² + x - 8

(7x + 8)(x - 1)

400

Factor the following trinomial completely

6x² - 63x + 120

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

500

Factor the following trinomial completely

8y² - 34y + 36

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

Solving Quadratics

100

solve by using the zero product property

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

{-1, -5/4}

200

solve by factoring and using the zero product property

n² + 7n + 10 = 0

{-5, -2}

300

solve by factoring and using the zero product property

6x² - 18x - 24 = 0

{-1, 4}

400

solve by factoring and using the zero product property

7r² - 14r = -7

{1}

500

solve by factoring and using the zero product property

15a² - 3a = 3 - 7a

{-3/5, 1/3}