Module 8 Assignments 1-4

Question 1

A Rational Expression can be written as P/Q where P&Q are polynomials a≠0

Answer 1

Ex:3x/7-x

f(x)=3x/7-x

Question 2

Domain is X|X is a real number

Answer 2

Ex.(X)=x+3/x^2-4
(x+2)(x-2)=0
X=2 or X=-2
X|X is a real number
X≠2 or X≠-2

Question 3

For any rational expression P/Q and any polynomials R, where R≠0

Answer 3

PR/QR = p/q * R/R =P/Q*1 = P/Q
PR/QR = P/Q

Question 4

Steps completely factor the numerator and the denominator of the rational expression.

Answer 4

Divide out the factors in common to the numerator and the denominator. (This would also be the same as removing a factor of 1.)
Ex: 8-16x^2/8x
8x(1-2x)
1-2x
x-9/9-x- x-9/-1(-9x+x)

Question 5

Multiplying Rational Expression:

The rule for multiplying ration expression is

Answer 5

P/Q* R/S=P/Q R/S as long as Q≠0 and s≠0

Question 6

To multiply Rational expression you may use the following steps

Answer 6

Completely factor each numerator and denominator
use previous rule and multiply both numerator and denominator
Simplify the product by dividing the numerator and the denominator by their common factors.

Question 7

Dividing Rational Expressions

rule for dividing rational expressions

Answer 7

P/Q / R/S * S/O = PS/QR\ As long as Q P/Q* R/S=P/Q R/S as long as Q≠0 and S≠0
use rule above and mostly by its reciprocal then simplify if possible.

Question 8

Add or subtract rational expressions with its common denominators. The same is true of rational expressions

Answer 8

if the the ration expressions P/Q and R/Q are rational expressions then P.Q and R.Q + P+R/Q and R/Q-P-R/Q

Question 9

To add or subtract rational expressions must have a

Answer 9

common denominator