Alg 1H Ch 9 Polynomials

Vocab

100

List the coefficent(s) of the polynomial:

6x² + 7xy - 9x + 2

6,7,-9

200

List the constant(s) of the polynomial:

7x² + 3x - 4 

-4

300

Name the polynomial be the number of terms and the degree:

4x³y + 7x²y - 2xy

Trinomial, degree 4

400

What is the name of a a polynomial expression in one variable with a degree of 2?

quadratic monomial 

500

A factoring technique often used if a polynomial has 4 or more terms

Grouping

Adding and Subtracting

100

Add: 

(𝑚² – m) + (2m + 𝑚²)

2m² +m

200

Subtract:

(x² – 3x) – (2x² + 5x)

-x² - 8x

300

Find the difference:

(8x² – 4x – 3) – (–2x – x²+ 5)

9x² - 2x - 8

400

Solve:

–5(2n – 3) = 7(3 – n)

n = -2

500

Simplify:

2a²(5a – 6) – 5a(a² – 3a + 4) – 7(a – 5)

5a³ + 3a² – 27a + 35

Multiplying

100

Find the product:

(2x + 1)(x – 4)

2x² – 7x – 4

200

Find the product:

(3b + 4)(2b² – b + 4)

6b³+ 5b²  + 8b + 16

300

Find the product:

–3rt(–2t² + 3r)

6rt³ - 9r²t

400

(3x - 8)²

9x² -48x + 64

500

Find the product:

(−2r² + n) ²

4r⁴ – 4r²n +n²

Factoring

100

Factor:

4x³ + 32x

4x(x² + 8)

200

Factor:

35a³bc² – 45a²b²c

5a²bc(7ac – 9b)

300

Factor: 

t² – 11t + 24

(t – 8)(t – 3)

400

Factor:

6xy – 8x + 15y – 20

(2x + 5)(3y – 4)

500

Factor: 

2x⁴ – 18x²

2x²(x + 3)(x – 3)

Solving

100

Solve: 

(3n + 2)(n – 2) = 0

-2/3 and 2

200

Solve:

6b² = –18b

-3 and 0

300

Solve: 

(𝑘 + 1) ² = 9

-4 and 2

400

Solve

6h² + 8h + 2 = 0

-1 and -1/3

500

Solve: 

8p² – 16p = 10

-1/2 and 5/2