2-Fractions-factoring

pdf

School

Wilfrid Laurier University *

*We aren’t endorsed by this school

Course

102

Subject

Mechanical Engineering

Date

Oct 30, 2023

Type

pdf

Pages

8

Uploaded by SargentFlower12244

Report
Multiplication of binomials Exercise Special products First Outer Inner Last ( x + 4) (2 x ¡ 3) = ( ¡ 7 x + 4) (5 x ¡ 1) = ( a + b ) 2 = ( a ¡ b ) 2 = ( a + b ) ( a ¡ b ) = Foil method
Fractions Properties of rational expressions Fundamental property: Addition: Subtraction: Multiplication: Division: Addition with di ff erent denominators: for numbers and rational expressions with b to
Examples Exercise 3 x + 1 + 5 x ¡ 2 x 5 ¡ 1 1 + 5 x = 1 x + 5 + 2 x ¡ 3 =
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
Factoring Factoring common factors Factoring by grouping This is called factoring by grouping 3 x 4 + 9 x 3 + 18 x 2 Example: Factor the greatest common factor from the following pA + qA Suppose we have on expression of the form then P A + qA = ( p + q ) A Example: Factor the following expression by grouping x 3 ¡ x 2 + 2 x ¡ 2 =
Factoring Trinomials Example: Factor More generally: ( the AC method) In in in in n n ( x + p ) ( x + q ) = x 2 + ( p + q ) x + pq = x 2 + ax + b We use FOIL backwards: a = p + q b = p ¢ q x 2 + 8 x + 15 ( rx + p ) ( sx + q ) = rsx 2 + ( rq + ps ) x + pq = ax 2 + bx + c 6 x 2 + 7 x ¡ 5 a = rs ; b = rq + ps ; c = pq: ac = ( rq )( ps )
Exercise: Factor 8 x 2 + 10 x + 3
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
Cubic factoring patterns Examples Simplify Special factorization patterns a 3 ¡ b 3 = ( a ¡ b ) ¡ a 2 + ab + b 2 ¢ a 3 + b 3 = ( a + b ) ¡ a 2 ¡ ab + b 2 ¢ 8 x 6 + 1 = x 3 ¡ 27 = 1 x ¡ 5 ¢ x 2 ¡ 3 x ¡ 10 x 2 + 5 x + 6
Exercise Factor x 2 + 5 x + 6 x + 3 ¢ x x 2 + 3 x + 2

Browse Popular Homework Q&A

Q: Conside'pothetical chemical reaction: A+B C+D (In this equation A, B, C and D stand for some unknown…
Q: A simple random sample of 5 months of sales data provided the following information:   Month: 1 2…
Q: (Q008) Which soil horizon consists of weathered bedrock material that has not yet been leached or…
Q: As discussed in lecture, mutualisms have been used in all of the following examples EXCEPT which?…
Q: There are many parameters that could be used to describe disk performance;   Which of the…
Q: 8. Calculate the period of Mercury around the Sun using the Earth's period and orbital radius as a…
Q: 4. Synthesis problem: synthesize the following product from starting material given. Give all the…
Q: 9) Rosa uses 8 ounces of frosting for 12 cupcakes. a) What is the unit rate ouncescupcake? Restate…
Q: ideal Opamp the input resistance
Q: H 6. Prove that the distinct equivalence classes of the relation of congruence modulo n are the sets…
Q: What is Medicaid? Who is eligible for Medicaid? What are the various parts of the Medicaid plan?…
Q: What is the the equilibrium constant (Kc) for the reaction below, if the reaction mixture initially…
Q: A swinging rod of mass makes a physical pendulum as the rod has a mass of 0.61kg and length 0.86m…
Q: Question 5 Pedro's utility function is U(a, b) =a+10b-b², where a is the amount of apples consumed…
Q: .When given an image of a cardiac contractile cell, such as the one below, describe the steps that…
Q: An OpAmp can output more than the power source, depending on the circuit connected to it. True False…
Q: The level of the solution in the tube would rise The level of the solution in the beaker would rise…
Q: H Gitt H H H I -N. N H
Q: 9 Explain the formation of an oxbow lake in as much detail as possible.
Q: Parsing and Ambiguity 1) Let G be the context-free grammar with productions S -> aSaa | B, B ->…
Q: Weierstrass's definition of limit to show that lim(x² - 4x+5)= 1. X-2
Q: What is the pH for a 100 ml solution of 1.0 M Benzoic Acid? If you added 10.5 grams of conjugate…