Math 10 Unit 5/6

Naming/Standard Form

100

Identify the leading coefficient of the polynomial:

63-2n^3-4n

2

200

Name the polynomial, the degree and identify the leading coefficient: 

3n²-2n

2nd degree binomial

3

300

Name the polynomial, the degree and identify the leading coefficient: 

-6x³+6x²+10

Cubic trinomial

-6

400

True or False: this is a polynomial:

3

True

Constants are polynomials with degree 0

500

Rewrite in standard form(if necessary), identify the leading coefficient, and name the polynomial and the degree:

-8n³-2+6n⁷+4n⁴

6n⁷+4n⁴-8n³-2

6

7th degree four term polynomial

Operations with Polynomials

100

Simplify the expression:

(r³-4r⁴)+(4r⁴-2r³)

-r³

200

Simplify the following:

(-2b⁵-2b+6b²)-(12b-7b⁵+13b²)

5b⁵-7b²-14b

300

Simplify the following:

(6b-5)(4b+1)

24b²-14b-5

400

Simplify the following:

(3a²-a-7)(-6a²+5a+3)

-18a⁴+21a³+46a²-38a-21

500

Simplify the following and write answer as a polynomial:

(x²-7x+10) ÷ (x-2)

(x-5)(x-2)

Factored Form/GCF/Special Cases

100

Factor

x^2+5x+6

(x+2)(x+3)

200

Factor:

40a^2-27a-4

(5a-4)(8a+1)

300

4b^2-12b+9

(2b-3)^2

400

Factor

4x^2-16x+16

(2x-4)^2

500

Factor

196x^2-225y^2

(14x-15y)(14x+15y)

Factoring when a=1 and a≠1 (Might need GCF)

100

Factor

x²+12x+32

(x+4)(x+8)

200

Factor

3n²+21n+18

3(n+6)(n+1)

300

Factor

10 k^2 + 5 k - 30

5(2k-3)(k+2)

400

Factor

6k²+7k+2

(2k+1)(3k+2)

500

Factor

14x²+34x+12

2(7x+3)(x+2)

Unit 5

100

(3x-1)(x+2)

3x^2+x-2

200

(4a-7b)^2

16a^2-56ab+49b^2

300

(16x-10)(16x+10)

256x^2-100

400

What is the proper term for the -4 in the following expression:

3x-4x^2+10

Leading Coefficient

500

If 

(x-a)^2+a = x^2-12x+b

Find a and b

a=6

b=42

Unit 5 pt.2

100

Name this special polynomial 

(a^2+2ab+b^2) or (a^2-2ab+b^2)

Perfect Square Trinomial

200

Name this special polynomial

a^2-b^2

Difference of Squares

300

What is the "degree" of a polynomial?

The term that has the highest sum of its powers, the sum being the degree.

400

True or false:

2(5x^2-1)-(2x^2+3) = 8x^2+1

False

2(5x^2-1)-(2x^2+3) = 8x^2-5

500

True or false:

The following is a polynomial:

3/x+5x-18x^2

False, the variables must have positive integer powers. 

3/x=3x^-1

so false