Unit 7 Review

Polynomials Vocab

100

x + 7

1.Write the polynomial in standard form: 

2. Leading coefficient: 

3. Constant: 

4. Degree: 

5. Classify by Degree: 

6. Classify by # of terms: 

1.Write the polynomial in standard form: x + 7

2. Leading coefficient: 1

3. Constant: 7

4. Degree: 1

5. Classify by Degree: Linear

6. Classify by # of terms: Binomial

200

7a - 2a² + 9

1.Write the polynomial in standard form

2. Leading coefficient 

3. Constant

4. Degree

5. Classify by Degree

6. Classify by # of terms

1.Write the polynomial in standard form:  - 2a² +7a + 9

2. Leading coefficient:  -2

3. Constant: 9

4. Degree: 2

5. Classify by Degree: Quadratic

6. Classify by # of terms: Trinomial

300

-5a⁴

1.Write the polynomial in standard form

2. Leading coefficient 

3. Constant

4. Degree

5. Classify by Degree

6. Classify by # of terms

1.Write the polynomial in standard form: -5a4 

2. Leading coefficient: -5

3. Constant: 0

4. Degree: 4

5. Classify by Degree: 4th degree

6. Classify by # of terms: monomial

400

-8 + 2k³

1.Write the polynomial in standard form

2. Leading coefficient 

3. Constant

4. Degree

5. Classify by Degree

6. Classify by # of terms

1.Write the polynomial in standard form: 2k³ - 8 

2. Leading coefficient: 2

3. Constant: - 8

4. Degree: 3 

5. Classify by Degree: Cubic

6. Classify by # of terms: Binomial

500

Write a cubic binomial with a leading coefficient of -7

Sample Answer:

-7x³ - 5x

Polynomial Operations

100

 g(x) = 4x + 9    f(x) = x - 4

Using the function above, simplify the expression below:

g(x) + f(x)

5x + 5

200

h(x) = x² +4x + 3    j(x) = 4x - 3

Use the functions above to simplify the expression below:

h(x) - j(x)

 x² +8x + 6

300

f(x) = 5x² - 8x + 9     g(x) = 6x + 2

Use the functions above to simplify the expression below:

f(x) - g(x)

5x² -14x + 7

400

f(x) = 5x² - 8x + 9     g(x) = 6x + 2

Use the functions above to simplify the expression below:

g(x) _* f(x)

30t³ +38t² -38t + 18

500

f(x) = 5x² - 8x + 9     g(x) = 6x + 2

Use the functions above to simplify the expression below:

[g(x)] ² 

36x²+24x+4

Factoring

100

Factor completely

x²+11x+30

(x + 6) ( x + 5 )

200

Factor completely

x² - 3x - 40

(x - 8) (x +5)

300

Factor completely

x² - 9x+ 14 

( x - 7) (x - 2)

400

Factor completely

x²+2x - 35

(x + 7) (x - 5)

500

Factor completely

x²+31x+12

Not Factorable

More Factoring

100

Factor Completely

12x² +14x + 4

2(3x+2)(2x+1)

200

Factor Completely 

5x² + 16x + 3

(5x + 1) ( x + 3)

300

Factor Completely 

3a³ + 7a² + 2a

(a + 2) (3a + 1)

400

Factor Completely

12a³- 22a²-4a

2a(6a+1)(a - 2)

500

Factor completely

a³b+ 6a²b²+9ab³

ab(a+3b)(a+3b)

Factoring Special Cases

100

Factor Completely

x² - 16

(x - 4)(x +4)

200

Factor Completely

144 - a²

(12 - a) (12 + a)

300

Factor Completely

9a² - 100b²

(3a - 10b) (3a + 10b)

400

Free 400 Points!

YAY!

500

Factor Completely:

9x³+ 27x        

9x ( x² + 3)