Unit 2 Review

Simplifying

100

Simplify the sum

(6n⁴-4+4n) + (5n⁴+3-2n)

11n⁴+2n-1

200

Simplify the difference

(4v+5+7v²) - (5-5v²+2v)

12v²+2v

300

Simplify the sum

(112y²-4+6y) + (844y-7+354y²)

466y²+850y-11

400

Simplify

(-6-4i)²

20+48i

500

Simplify the difference

(6n⁶-4+4n) - (7n⁶+845n+12)

-n⁶-841n-16

Finding Terms & Coefficients

100

6th term in expansion of (x-3y)⁸

-13608x³y⁵

200

4th term in expansion of (x-2y)⁴

-32xy³

300

Coefficient of xy³ in expansion of (x+3y)⁴

108

400

 Coefficient of x³y⁵ in expansion of (x+3y)⁸

13608

500

coefficient of x²y² in expansion of (x+3y)⁴

54

Multiplying & Dividing Polynomials

100

Find the product

(6x+6)(5x-3)

30x²+12x-18

200

Divide the polynomial and find the excluded values

(x⁴-10x³+27x²-46x+28)/(x-7)

Excluded Values: x=7

x³-3x²+6x-4

300

Find the product

(x-7)(4x-1)

4x²-29x+7

400

Divide the polynomials

(2x⁴+5x³+7x²+16x+15)/(2x+3)

x³+x²⁺2x+5

500

Divide the polynomials 

(6x²+7x-20)/(2x+5)

3x-4 

Inverse & Indicated Operations

100

Find the Inverse of the function

h(x)=6+x/2

h^-1(x)=2x-6

200

Preform the indicated operation

f(x)=3x-4

g(x)=x²+5x

find f(g(x))

f(g(x))=3x²+15x-4

300

Preform the indicated operation

f(x)=x²-2

g(x)=2x+2

find (f-g)(x)

(f-g)(x)=x²-2x-4

400

Find the inverse of the function

f(x)=x-5/2

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

500

g(x)=-3x²+5

h(x)=4x-4

find (g+h)(x)

(g+h)(x)=-3x²+4x+1

Mystery

100

Name the polynomial by degree and number of terms

-5n⁵+8n

Quintic Binomial

200

Expand Completely

(b-3)⁴

b⁴-12b³+54b²-108b+81

300

Is the following a polynomial

2x²+x^-1

No, the exponent is negative

400

what is pascal's triangle to the 4th row?

                                 1

                              1    1

                           1    2    1

                       1     3    3     1

                    1    4     6     4     1

500

Expand completely

(y+2)⁷

y⁷+14y⁶+84y⁵+280y⁴+560y³+672y²+448y+128