Review Write the product of the sum and difference. (x + 3) (x – 3)

Slides:

Advertisements

Similar presentations

Factor and Solve Quadratic Equations

Advertisements

4.3 – Solve x 2 + bx + c = 0 by Factoring A monomial is an expression that is either a number, a variable, or the product of a number and one or more variables.

Lesson 9.3 Factoring Trinomials: x² + bx + c

Review Factor the trinomial 3x2 + 11x - 4

Solving quadratic equations Factorisation Type 1: No constant term Solve x 2 – 6x = 0 x (x – 6) = 0 x = 0 or x – 6 = 0 Solutions: x = 0 or x = 6 Graph.

Section 8.3 – Systems of Linear Equations - Determinants Using Determinants to Solve Systems of Equations A determinant is a value that is obtained from.

Warm Up Write each expression as a trinomial. Factor each expression.

6.4 Factoring and Solving Polynomial Equations. Review of Factoring 2 nd Degree Polynomials x 2 + 9x + 20 = (x+5)(x+4) x x + 30 = (x-6)(x-5) 3x.

8.5 – Factoring Differences of Squares. Recall: Recall: Product of a Sum & a Difference.

What are quadratic equations, and how can we solve them? Do Now: (To turn in) What do you know about quadratic equations? Have you worked with them before?

Solving Polynomial Equations in Factored Form Lesson 10.4A Algebra 2.

Lesson 10.5 Factoring Objective: To factor a quadratic trinomial of the form Factoring a trinomial is the opposite of multiplying two binomials. Example:

Quiz 1) 2). Multiplying a Trinomial and Binomial We can’t FOIL because it is not 2 binomials. So we will distribute each term in the trinomial to each.

Wed, 3/23 SWBAT…add and subtract polynomials Agenda 1. Adding & subtracting polynomials (10 min) 2. Multiplying a monomial by a polynomial (10 min) Warm-Up:

WARM UP Find the product. 1.) (m – 8)(m – 9) 2.) (z + 6)(z – 10) 3.) (y + 20)(y – 20)

5.2 Polynomials, Linear Factors, and Zeros P

Section 10.6 Factoring Objectives: Factor a quadratic expression of the form Solve quadratic equations by factoring.

Notes Over 10.4 Zero-Product Property if the product of two factors is zero, then at least one of the factors must be zero.

Warm-Up 1. Find the -Vertex -Y-Intercept -X-intercepts 2. Graph 3. Factor.

Notes Over 10.8 Methods of Factoring Binomial Trinomial

Objectives Solve quadratic equations by completing the square.

Factor the expression. If the expression cannot be factored, say so.

Completing the Square.

4.5 & 4.6 Factoring Polynomials & Solving by Factoring

Warm - up x2 – 24x 4x(x – 6) 2. 2x2 + 11x – 21 (2x – 3)(x + 7)

Pick a category a point value

Factoring Polynomials

8-6 Solving Quadratic Equations using Factoring

5.5 Completing the Square.

Write in standard form. Identify the leading coefficient.

Warm Up 1. Name 2 Perfect Square Trinomials. Use your book if necessary. What c makes this a perfect square & factor? 2. x2 – 12x + c 3. x2 + 10x + c.

Warm Up - September 27, 2017 Classify each polynomial by degree and by number of terms. 1. 5x x2 + 4x - 2 Write each polynomial in standard form.

Quad Frame Vertex Name: For each equation:

4.7 Complete the Square.

5.5 Completing the Square.

Warm Up Factor the following quadratic expressions. 4x2 + 32x

Solving Equations in Factored Form

Factor Special Products

Warm Up Find the x-intercept of each function. 1. f(x) = –3x + 9 3

Systems of Linear Equations

Systems of Linear Equations

FOIL: Trinomial Factoring with lead coefficient of one

10.4 Solving Quadratic Equations in Factored Form

Creating & Graphing Quadratic Functions Using the X-Intercepts (3.3.2)

Warm Up: Solve the Equation 4x2 + 8x – 32 = 0.

5.6 – point slope formula Textbook pg. 315 Objective:

Solving Quadratic Equations by Factoring

5.8 – Graphing standard form

Factoring x2 + bx + c Objective:

Honors Algebra 2 Chapter 1a Review

7.1 solving linear systems by graphing

Bellwork: 2/13/18 Find each product.

Review Multiply (3b – 2)(2b – 3) Multiply (4t + 3)(4t + 3)

10.1 add/subtract polynomials

Review Find number of solutions using substitution or linear combinations. 2x – 6y = 5 3x – 9y = 2 Find number of solution using graphing. -2x + 5y =

Review Simplify the following

9.5 Factoring to Solve Quadratic Equations

Review Write an equation in slope-intercept of the line that passes through point (0,4) and (-11,-62)

Review Sketch a graph of the inequality 0 < x < 5

Review Plot (3,5) (-4,3) (0,4) (-2,0) Identify the coordinate.

Students, Take out your calendar and your homework

Factoring Take a trinomial and break it into two binomials.

Write equation with slope and point

Review Use one of the 3 types of applications to solve the system

5.1 Writing Linear equations in slope intercept form

Review Is y = 3x a direct variation. If so, what’s the constant and what’s the slope? X and y vary directly. Write an equation that relates x and y. X.

Quad Frame Vertex Name: For each equation:

Objectives: To graph lines using the slope-intercept equation

8-9 Notes for Algebra 1 Perfect Squares.

4.3: Solving (Quadratic Equations) by Factoring

Presentation transcript:

Review Write the product of the sum and difference. (x + 3) (x – 3) Write the square of the binomial as a trinomial (x + 5)2

10.4 Solve polynomial equations in factored form

Notes Factored form: product of two or more linear factors. Ex: (2x – 3) (x + 5) = 0 Ex: (2x-3)(x+5)(x-7)=0 zero-product property: product of two factors is zero only when at least one of the factors is zero.

Use zero product prop. to solve -T (x + 1) (x + 6) = 0 (c + 7) (c + 2) = 0 (d + 3 4 ) (d + 5 8 )=0 5(m + 4)2 = 0 (t + 4) (t – 4) = 0 (x – 3.2) (x - 3 2 ) = 0

Use zero product prop. to solve -sT (n – 8) (n – 9) = 0 (x + 1 2 ) (x - 1 2 )=0 (x + 9) (x – 8) = 0 (x + 4.2) (x – 4.2) = 0 (x + 5.4) (x – 3) = 0 (y – 6) (y + 6)2 = 0

Solve the equation - t (2x + 8)(x + 7) = 0 (2n – 7)(5n + 20) = 0 (5x + 7)(7x – 15) = 0 (3x + 9.3)(4x – 12.8) = 0

Solve the equation - st (5y – 1)(2y + 4) = 0 (2x – 5)(9x – 15) = 0 (2c + 8)(5c + 10) = 0 (2x - 1 2 )(2x+ 1 2 )2 = 0

Find the x-intercepts and the vertex of the equation. Sketch the graph. Y = (x – 4)(x + 2)

Find the x-intercepts and the vertex of the equation. Sketch the graph. Y = (x + 1)(x - 5)

Wrap up Questions/Comments Hw: text pg. 600, #’s: 20-46 evens, 47, 48, 55, 56