Rational Algebraic Expressions, simplify & dividing

Factoring Polynomials

1

x²+10x+16

(x+2)(x+8)

2

3x²-5x-12

= (3x-4)(x+3)

3

x²-6x+8

= (x-2)(x-4)

4

2x²-x-6

= (2x+5)(x-2)

5

x²-36

= (x+6)(x-6)

Simplify Rational Expressions

1

(2x+ 4)/(x^2+5x)

2/(x^2+3)

2

(4x^3-6x^2)/(2x)

=(2x^2(2x-3))/(2x)

=x(2x-3)

3

(x^2-5x+6)/(x-3)

=((x-2)(x-3))/(x-3)

=(x-2)

4

(4x^3)/(8x^2)

=1/2 x^1

=x/2

5

(3x+9)/(3x+15)

=(3(x+3))/(3(x+5))

=(x+3)/(x+5)

Trivia

1

What is the smallest prime number?

2

2

 Which part of the body keeps on growing throughout our life?

 Ears and noses keeps growing our entire life.

3

 The US Civil War was fought among which regions of the United States?

The Northern and Southern regions of the USA.

4

What is a herbivore?

Animals that consume only plants.

5

 What is the number of stars and stripes present in the flag of the United States of America?

50 stars and 13 stripes.

Linarez Trivia

1

What college did I graduate from?

CSU Stanislaus 

2

What is my favorite color?

blue

3

Which one of my dogs eats everything I own?

Harvey

4

What is my husband's name?

Travis Acosta

5

What is my favorite type of cookie?

snickerdoodle. 

Dividing Rational Expressions

1

(3x^4)/4 div (9x)/10

=(5x^3)/6

2

(3x)/2 div (6y)/x

= x^2/(4y)

3

(7p)/(p+2) div (p+2)/p

=(7p^2)/(p+2)^2

4

(5(a+2))/b div (a+2)/b

=(5(a+2))/b * b/(a+2)

=5

5

(5x^3)/(3xy) div (3x^2)/(24xy)

=(5x^3)/(3xy) * (24xy)/(3x^2)

= (5x^2)/(3y)*(8y)/x

= 5/3 * 8/x

=40/(3x)