ST 7-16 Review

Standards7-9

100

-1/2x^4+8x^5-x+9 Identify the number of terms, the leading coefficient, the constant term, and the degree of the given polynomial.

4 terms (polynomial)

leading coefficient: -1/2

constant: 9

degree: 4 (quartic)

200

Rewrite the following polynomial in standard form: 

-1-3x^3 +4x^5

4x^5-3x^3-1

300

Simplify

(-4x^2+6x+1)+(5x+7)

-4x^2+11x+8

400

Simplify

(6x^2+2x)-(-9x^2-10x)

15x^2+12x

500

Simplify 

 (2x^2+10x-2)-(-8x^2+7x+7) 

10x^2+3x-9

Standards 10-12

100

Distribute

3x(2x-1)

6x^2-3x

200

Multiply

(x-1)(x-9)

x^2-10x+9

300

Multiply

(-3x+5)(x^2+7x+5)

-3x^3-16x^2+20x+25

400

Multiply

(x-11)^2

x^2-22x+121

500

Multiply

(4x^5+y^3)^2

16x^10+8x^5y^3+y^6

Standards 13-14

100

Identify and factor out the GCF.

16x^2+56

GCF: 8

8(2x^2+7)

200

Identify and factor out the GCF. 

24x^4+56x^3

GCF:  8x^3 

8x^3(3x+7)

300

Factor

x^3+4x^2+x+4

(x^2+1)(x+4)

400

Factor

2x^3-7x^2+8x-28

(x^2+4)(2x-7)

500

Factor

2x^3-7x^2+2x-7

(x^2+1)(2x-7)

Standards 15-16

100

Factor

x^2+4x-60

(x-6)(x+10)

200

Factor 

3x^2+20x+12

(3x+2)(x+6)

300

Factor 

x^2-121

(x+11)(x-11)

400

Factor 

25x^4-1

(5x^2+1)(5x^2-1)

500

Factor completely 

-2x^4+20x^3+48x^2

-2x^2(x-12)(x+2)