Unit 7 Test Review
Name:____________________________
Write each of the following polynomials in standard form.
Ex.) 2 + 2x3y2 – 4y + 3x5y
1.) –8x + 3x4 + 12 + 4x2
2.) –7 – 3xy2 + 10y + 6x2y
3x5y + 2x3y2 – 4y + 2
3x4 + 4x2 – 8x + 12
6x2y – 3xy2 + 10y – 7
Simplify each of the following expressions. Write your answer in standard form.
Ex.) (4x2 + 3x + 12) + (-2x + 6x2 + 8)
Ex.) (6x3 – 3x2 + 2) – (-2x3 + 7x2 – 3)
10x2 +x + 20
8x3 – 10x2 + 5
3.) (3x2 + 7x + 2) + (4x2 – 3x + 9)
5.) (3x3 – x2 + 9x – 5) – (–2x3 + 5x2 – 4x – 6)
7x2 + 4x + 11
5x3 – 6x2 + 13x + 1
4.) (3x2 – 2 + 10x) – (5 + 7x2 + 4x)
6.) (8x2 – 6x + 5) + (-3x2 + x + 2)
-4x2 + 6x – 7
5x2 – 5x + 7
Multiply each of the following expressions. Write your answer in standard form.
Ex.) (4x + 3)(2x – 1)
7.) (2x + 4)(3x – 5)
8.) (x + 5)(x – 1)(x + 2)
8x2 + 2x – 3
6x2 + 2x – 20
(x2 + 4x – 5)(x + 2)
x3 + 6x2 + 3x – 10
Factoring each of the following polynomials. Write your answer in standard form.
Ex.) 2x3y2 – 4x2y + 8xy
9.) 3x3 – 30x2 + 15x
10.) 14x7y2 + 7x5y – 21x3y3
2xy(x2y – 2x + 4)
3x(x2 – 10x + 5)
7x3y(2x4y + x2 – 3y2)
Factor each of the following expressions. Write your answer in standard form.
Ex.) (2x + 3)(3x + 8) + (2x + 3)(x – 4)
11.) (x + 4)(x – 2) + (x + 4)(x – 5)
12.) (3x – 2)(4x – 7) – (3x – 2)(3x + 1)
(2x + 3)(4x + 4)
(x + 4)(2x – 7)
(3x – 2)(x – 8)
Ex.) 16x4 – 9y2
13.) 25x2 – 49y2
14.) 100x4 – 121y2
(4x – 3y)(4x + 3y)
(5x – 7y)(5x + 7y)
(10x2 + 11y)(10x2 – 11y)
Ex.) x2 + x – 12
15.) x2 + 11x + 30
16.) x2 – 7x + 12
(x – 3)(x + 4)
(x + 5)(x + 6)
(x – 3)(x – 4)
Ex.) 4x2 – 5x – 6
17.) 3x2 + 7x + 4
18.) 10x2 + 3x – 4
(4x + 3)(x – 2)
(3x + 4)(x + 1)
(2x – 1)(5x + 4)
Factor out a GCF then factor each trinomial. Write your answer in standard form.
Ex.) 3x2 + 9x - 30
19.) 2x3 – 14x2 + 20x
20.) 15x2 + 55x – 20
3(x2 + 3x – 10)
2x(x2 – 7x + 10)
5(3x2 + 11x – 4)
3(x – 2)(x + 5)
2x(x – 2)(x – 5)
5(3x – 1)(x + 4)