Name:__________ warm-up 8-8 Factor 2c 2 – 17c + 36, if possibleFactor 5g 2 + 14g – 10, if possible Solve 4n 2 + 11n = –6Solve 7x 2 + 25x – 12 = 0.

Slides:



Advertisements
Similar presentations
Name:__________ warm-up 4-4 Solve x 2 – x = 2 by factoringSolve c 2 – 16c + 64 = 0 by factoring Write a quadratic equation with the roots –1 and 6 in the.
Advertisements

Chapter 5 – Quadratic Functions and Factoring
Name:__________ warm-up 4-3 Use the related graph of y = –x 2 – 2x + 3 to determine its solutions Which term is not another name for a solution to a quadratic.
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.
solution If a quadratic equation is in the form ax 2 + c = 0, no bx term, then it is easier to solve the equation by finding the square roots. Solve.
Name:__________ warm-up 4-6 Solve x 2 – 2x + 1 = 9 by using the Square Root Property. Solve 4c c + 9 = 7 by using the Square Root Property. Find.
Name:__________ warm-up 4-5 Simplify (5 + 7i) – (–3 + 2i).Solve 7x = 0.
Section 4.6 – Completing the Square Students will be able to: To solve equations by completing the square To rewrite functions by completing the square.
6 – 4: Factoring and Solving Polynomial Equations (Day 1)
Name:__________ warm-up 8-9 Factor x 2 – 121Factor –36x Solve 4c 2 = 49 by factoringSolve 25x 3 – 9x = 0 by factoring.
Name:__________ warm-up 9-1 Factor a 2 – 5a + 9, if possibleFactor 6z 2 – z – 1, if possible Solve 5x 2 = 125Solve 2x x – 21 = 0.
Over Lesson 8–4 A.A B.B C.C D.D 5-Minute Check 1 (2c – 9)(c – 4) Factor 2c 2 – 17c + 36, if possible.
6.5 – Solving Equations with Quadratic Techniques.
8.5 – Factoring Differences of Squares. Recall: Recall: Product of a Sum & a Difference.
Name:__________ warm-up 7-2 State the domain and range of y = –3(2) x State the domain and range of.
Name:__________ warm-up The formula for the total surface area of a cube with side ℓ is 6ℓ 2. The surface area of a cube is 648 square feet. What.
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.
Chapter 7 Quadratic Equations and Functions
Quadratics Solving equations Using “Completing the Square”
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–7) CCSS Then/Now New Vocabulary Key Concept: Difference of Squares Example 1:Factor Differences.
Name:__________ warm-up Details of the Day EQ: How do we work with expressions and equations containing radicals? I will be able to…. Activities:
Section 4.7 – The Quadratic Formula Students will be able to: To solve equations using the Quadratic Formula To determine the number of solutions by using.
solve x + (-16) = -12 solve x + (-16) = X = 4.
5.3 – Solving Quadratic Equations by Factoring. Ex. 1 Solve y = x 2 + 5x + 6 by factoring.
Solving Quadratic Equations Quadratic Equations: Think of other examples?
WARM UP Find the product. 1.) (m – 8)(m – 9) 2.) (z + 6)(z – 10) 3.) (y + 20)(y – 20)
5.3 Factoring Quadratic Function 12/7/2012. are the numbers you multiply together to get another number: 3 and 4 are factors of 12, because 3x4=12. 2.
4.6 Completing the Square Completing a perfect square trinomial allows you to factor the completed trinomial as the square of a binomial. You can solve.
4.8 Polynomial Word Problems. a) Define the variable, b) Write the equation, and c) Solve the problem. 1) The sum of a number and its square is 42. Find.
Warm-Up Factor. 6 minutes 1) x x ) x 2 – 22x ) x 2 – 12x - 64 Solve each equation. 4) d 2 – 100 = 0 5) z 2 – 2z + 1 = 0 6) t
Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!
Solving Quadratic Equations by Factoring Lesson 5.2.
Solving Quadratic Equations Using the Quadratic Formula Part 2.
Factoring – Day 4 Factoring Trinomials Objective: To factor trinomials whose quadratic coefficient is 1.
Solve by taking roots. Warm up. Homework Review Completing the Square.
Aim: How do we solve quadratic equation with complex roots? Do Now: 1. Solve for x: 2. Solve for x: 3. Solve for x: HW: p.219 # 6,8,10,12,14 p.241 # 6,14,25.
Martin-Gay, Developmental Mathematics 1 Warm-Up #28 (Thursday, 11/12)
EQ: How can you use completing the square to put a quadratic equation in vertex form? Demonstrated in writing on example problems in notes. Warm-Up Please.
5.3 Factoring Quadratic Function 11/15/2013. Multiplying Binomials: FOIL First, Outside, Inside, Last Ex. (x + 3)(x + 5) ( x + 3)( x + 5) (x + 3)(x +
Bellwork 1)Write in standard form. 2) 3)A student is solving an equation by completing the square. Write the step in the solution that appears just before.
The Quadratic Formula The Quadratic Formula can be used to solve any quadratic equation that is in the form ax2 ax2 + bx bx + c = 0 I’ll have to write.
Name:__________ warm-up 4-2 Does the function f(x) = 3x 2 + 6x have a maximum or a minimum value? Find the y-intercept of f(x) = 3x 2 + 6x Find the equation.
Solve Quadratic Equations by Completing the Square
Aim: What are the properties of a quadratic equation?
1.5 Square Root and Completing the Square
7.3 Solving Equations Using Quadratic Techniques
The Square Root Principle & Completing the Square
Factoring Polynomials
Objectives Solve quadratic equations by completing the square.
Warm up.
Factoring the Difference of Two Squares
Solving Quadratic Equations by the Complete the Square Method
Consecutive Number Equations
Review Question: System of Equations
Factoring.
1.6 - Square Root and Completing the Square
The Quadratic Formula.
1B.1- Solving Quadratics:
Warm Up Factor the following: a) b).
Changing Forms of Circles
5.5 – Completing the Square
Warmup Does the function f(x) = 3x2 + 6x have a maximum or a minimum value?
Name:__________ warm-up 9-3
5.4 Completing the Square.
2.3 Factor and Solve Polynomial Expressions
8.2 Mini-Quiz Review: 6.5a Mini-Quiz Solve Solve.
L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.
Skills Check Factoring (after the HW Check)
Presentation transcript:

Name:__________ warm-up 8-8 Factor 2c 2 – 17c + 36, if possibleFactor 5g g – 10, if possible Solve 4n n = –6Solve 7x x – 12 = 0

The sum of the squares of two consecutive positive integers is 61. What are the two integers? Which of the following does not have a product of 18b 2 – 3b – 105? A. (2b – 5)(9b + 21) B.3(2b – 5)(3b + 7) C.(2b – 5)(3b + 7) D.(6b – 15)(3b + 7)

Details of the Day EQ:I will be able to… Factor binomials that are the difference of squares. Use the difference of squares to solve equations Activities: Warm-up Review homework Notes: Class work/ HW Vocabulary: difference of two squares.

8-8 Difference of Squares Factoring ax² + bx + c (x + K) (x + H)

A Quick Review Factor 2c 2 – 17c + 36, if possibleFactor 5g g – 10, if possible Solve 4n n = –6Solve 7x x – 12 = 0

A Quick Review The sum of the squares of two consecutive positive integers is 61. What are the two integers? Which of the following does not have a product of 18b 2 – 3b – 105? A. (2b – 5)(9b + 21) B.3(2b – 5)(3b + 7) C.(2b – 5)(3b + 7) D.(6b – 15)(3b + 7)

Notes and examples Factor m 2 – 64Factor 16y 2 – 81z 2

Notes and examples Factor 3b 3 – 27b.Factor the binomial b 2 – 9 Factor the binomial 25a 2 – 36b 2 Factor 5x 3 – 20x

Notes and examples Factor y 4 – 625Factor y 4 – 16 Factor 256 – n 4 Factor 81 – d 4

Notes and examples Factor 9x 5 – 36xFactor 6x x 2 – 24x – 120 Factor 3x 5 – 12xFactor 5x x 2 – 45x – 225

Notes and examples In the equation m 2 – 81 = y, which is a value of m when y = 0?