Show:
2.1 Algebraic Expressions
2.3 Operations on Polynomials
2.4 Rationalize Denominator
2.5 Factoring Polynomials
100

Write in standard form. 

-3x^3+4x^5-5+8x^3

4x^5+5x^3-5

100

Simplify 

(5x^2+13)+(3x^2-8x-10)

8x^2-8x+3

100

What is the conjugate of 

sqrt3+1

sqrt3-1

100

Factor 

x^4+15x^3+26x^2

x^2(x+13)(x+2)

200

Simplify 

5y^5(4y^2-3y+7)

20y^7-15y^6+35y^5

200

Simplify 

(8x+3x^5)-(3x^5-2x-6x^2+11)

6x^2+10x-11

200

How do you rationalize the denominator of 

sqrt6/(sqrt5+1)

multiply by the conjugate 

sqrt5-1

200

Factor 

25x^2-20x+4

(5x-2)^2

300

Simplify 

4k^4(5k-2)+3k^5-7k^4

23k^5-15k^4

300

Simplify. 

(x^2+3x^3-5x+11)-(4x-6x^2+5x^3-3)

-2x^3+7x^2-9x+14

300

Rationalize the denominator of 

4/(sqrt2-3

(4sqrt2+12)/-7

300

Factor 

11x+4-3x^2

-(3x+1)(x-4)

400

Evaluate 

(x-y)^2+3xy, when, x=1 and y=-2

3

400

Expand and simplify. 

(5v+2)^2

25v^2+20v+4

400

Rationalize the denominator of 

sqrt7/(sqrt3+1)

(sqrt21-sqrt7)/2

400

Factor 

a^4-81b^4

(a^2+9b^2)(a+3b)(a-3b)

500

Evaluate the following expression for the given values of the variables. 

4x^2+3y^3(x+y), when, x=4 and y=-2

16

500

Write the product in standard form. 

(3v-7)(7v+3)

21v^2-40v-21

500

Rationalize the denominator of 

(sqrt7+sqrt5)/(sqrt7-sqrt5

6+sqrt35

500

Factor

xy-5x+yz-5z

(y-5)(x+z)