Factoring Quadratics Using the “X” method. Warm - up 1. (x - 7) 2 = x 2 - 14x + 49 3. (2k + 3) 2 = 4k 2 + 12k + 9 5. ( t - 6 )( t + 6 ) = t 2 - 36 2.

Slides:



Advertisements
Similar presentations
7.1 An Introduction to Polynomials
Advertisements

3.3 Cost, Profit and Revenue Functions
Sum and Product Roots Lesson 6-5. The Sum and the Product Roots Theorem In a quadratic whose leading coefficient is 1: the sum of the roots is the negative.
Warm up 1. Solve. 2. Solve. m m + 30 = 0 x = 0.
+ Completing the Square. + In your notes: Simplify the following: (5 – 3i)(4 + 2i) 3.
WARM UP 1) Complete the square x 2 – 14x + ____ 2) Solve by completing the square x x + 14 = 0.
Quadratics – Completing the Square A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Example 1: Binomial Squared Perfect.
Graphing Quadratics With VERTEX and Axis of Symmetry At the end of the period, you will learn: 1. To compare parabola by the coefficient 2. To find the.
8-4 Factoring ax2 + bx + c Warm Up Lesson Presentation Lesson Quiz
Warm-up Find the quotient Section 6-4: Solving Polynomial Equations by Factoring Goal 1.03: Operate with algebraic expressions (polynomial,
Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – x ) 10xy + 5y – 6xy – 14y 5x – 14 15x + 3 4xy – 9y Warm up.
Factoring and Solving Polynomial Equations Chapter 6.4.
Warm up – back of your books… A1: Think of TWO numbers that Multiply to make 6 Sum to make 5 B1: Think of TWO numbers that Multiply to make 5 Sum to make.
Roots of Polynomials Quadratics If the roots of the quadratic equation are  and  then the factorised equation is : (x –  )(x –  ) = 0 (x –  )(x –
Quadratics cutting axis (2) Algebra Quadratics cutting the x and y axis. In each of the examples which follow, you are asked to a) Find the points where.
2.2 strat. Warm UP!!!! find the sum Remember Like terms: Have the same variable and exponent 14x 2 12x 2 7g 81g 5c 45c 7w 3 34w 3.
Adding and subtracting polynomials
WARM UP EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). 1.-3(x) when x = 9 2.4(-6)(m) when m = (-n)(-n)
Standard 20 The Quadratic Formula Example with numbers put in.
Warm-up Quiz #3 (on your warm-up sheet)
Section 10.6 Factoring Objectives: Factor a quadratic expression of the form Solve quadratic equations by factoring.
Warm up – Solve by Taking Roots. Warm up – Solve by Completing the Square.
Factoring – Day 4 Factoring Trinomials Objective: To factor trinomials whose quadratic coefficient is 1.
Objective: Factoring trinomials of the form. Warm up 1.Factor completely, if possible. a.
Do Now: Evaluate each expression for x = -2. Aim: How do we work with polynomials? 1) -x + 12) x ) -(x – 6) Simplify each expression. 4) (x + 5)
Chapter section Topic: quadratic equations Vocabulary: You factor a quadratic by finding the two binomials you multiply together.
Warm Up: 1.  2 Finding Rational Zeros (Day 1) 3.
6.5 Factoring Quadratics with Prime Leading Coefficients Objective: Be able to factor quadratics that start with a prime number.
6.6 Factoring Quadratics with Composite Leading Coefficients Objective: Be able to factor quadratics that start with a composite number.
Factoring Quadratic Expressions ax 2 + bx + c “SPLITTING THE MIDDLE” Feb. 27, 2014.
Warm up 1. Find the average rate of change between -2 and Find the interval of decrease. m = 5 (2, ∞)
Table of Contents Quadratics – Completing the Square A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Example 1:
WARM UP  Solve using the quadratic formula
Warm-Up Solve through factoring: /23/2018 9:59 AM
Solving Polynomial Equations
Today’s Objective: I can simplify rational expressions.
Warm Up Evaluate. 1. –24 –16 2. (–2)4 16 Simplify each expression.
Aim: What are the properties of a quadratic equation?
Warm-up 1.5 Write the absolute value and opposite of:
Warm up.
Factoring Trinomials with a leading coefficient
Write each expression as a trinomial.
Quadratic Formula Solving for X Solving for quadratic equations.
Sum and Product of Roots
Warm-up 8-4: ACT – Set 2 - #8, 9, 10 What part of the quadratic formula determines what kind of solutions you will get?
Solving Quadratics by Completing the Square
Write in standard form. Identify the leading coefficient.
Warm-up September 21, 2017 (-5) – 6 = 5 – (-6) = (-5) + 6 =
Warm up A son weighs 76 lbs. His father weighs 266 lbs. How many times greater does the father weigh than his son? 3.5 times greater.
I CAN solve equations using the Quadratic Formula. lesson 9.4a.
Warm Up −36
Warm-up September 18, 2017 Solve using the Order of Operations PE(MD)(AS): * 4 – 6 * 14 = (4 * 5) + (6 * 9) ÷ 2 = 4.8 ÷ 2 * 12 = SHOW ALL YOUR.
Special Problems (Solve)
3.4 Solving Simple Quadratic Equations, Completing the Square, and Solving Equations using Completing the Square.
7-3 Factoring x2 + bx + c Warm Up Lesson Presentation Lesson Quiz
Warm Up.
Completing the Square.
Literacy Research Memory Skills Stretch Factorise:
Warm-up: Factor: 6(x – 4)2 + 13(x – 4) – 5
Find a if: a2 + b2 = c2 1.) c=10, b= 8 2.) c=20,b=16 3.) a2+152=172
Warm Up.
Quadratic Graphs.
Warm Up Do Objective 1b, Page 14 in the End of Course Warm Up Booklet
Identifying parts of expressions and classifying polynomials
Objective: Solve quadratics by factoring.
6.5 Factoring Quadratics with Prime Leading Coefficients
Quadratic Equations: Solving by factorising
Non-Linear Functions by Substitution
Warm Up Write the first 4 terms of each sequence:
Warmup Factor 3n3 – 12n2 – 30n Answer 3n(n2 – 4n -10)
Presentation transcript:

Factoring Quadratics Using the “X” method

Warm - up 1. (x - 7) 2 = x x (2k + 3) 2 = 4k k ( t - 6 )( t + 6 ) = t (m + 8) 2 = m m (3z - 5) 2 = 9z k ( 5y )( 5y 2 + 2) = 25y 2 - 4

Quadratics with a leading coefficient of 1 Factors of 12 Sum of factors 1 and and and Factor x 2 + 7x + 12 (x + 3) ( x + 4)

(x + 3) ( x + 4)

1. Factor x x + 20 (x + 20) ( x + 1) Your Turn!

1. Factor x 2 - 6x + 8 (x - 4) ( x - 2)

1. Factor x 2 - x - 12 (x + 3) ( x - 4) Your Turn!

1. Factor x 2 - 9x + 20 (x - 5) ( x - 4)

1. Factor x 2 - 7x + 10 (x - 2) ( x - 5) Your Turn!

1. Factor x 2 + 2x - 15 (x - 3) ( x + 5)

1. Factor x 2 + 6x - 7 (x - 1) ( x + 7) Your Turn!

Classwork