Objective: To be able to factor trinomials. Objective: To be able to factor trinomials.

Slides:



Advertisements
Similar presentations
Factoring Trinomials When a=1 ALWAYS check for GCF first! Factor trinomials in the standard form ax²+ bx + c Solve equations in the standard form ax²+
Advertisements

Warm up Factor: 1. p2 + 13p – a2 – 12a – x2 – 9x – 8.
2.6 Factor x2 + bx + c.
5-4 Factoring Quadratic Expressions
Factoring Trinomials Using the Tic-Tac-Toe Method
Factoring Trinomials using common factors
Warm-ups Find each product. 1. (x – 2)(2x + 7) 2. (3y + 4)(2y + 9) 3. (3n – 5)(n – 7) Factor each trinomial. 4. x 2 +4x – z z + 36.
Section 9-6 Day 1 Factoring Trinomials ax 2 + bx + c Day 1.
8.3 Factoring Quadratic Equations Objective The student will be able to: Factor trinomials with grouping. Solve quadratic equations using Zero Product.
Algebra 2: Notes 4.3 & 4.4: Factoring:
Algebra 3 Warm-Up 2.2 List the factors of 36 1, 36 2, 18 3, 12 4, 9 6,
11.1 – The Greatest Common Factor (GCF)
Factoring Review and Factoring Trinomials. Find the factors of the term and identify as prime or composite. 18:
Factoring, Difference of Two Squares
Factoring Trinomials with a > 1 Factor trinomials when the coefficient of x 2 is a number greater than 1. ax 2 + bx + c.
Solving Quadratic Equations. Solving by Factoring.
Day Problems Factor each expression. 1.x 2 – a 2 – m 2 – 144m v 2 – 220v n 2 – 225.
Objective The student will be able to: factor trinomials of the type ax 2 + bx + c with grouping. Designed by Skip Tyler, Varina High School.
Factoring Trinomials with Common Factors Grouping Method.
Warm Up: Review Multiply the polynomials: 1. (x – 4)(2x – 2) 3. 3x(2x 2 y + 2xy + 3y + 4) 2. (3x – 1)(x + 3) 4. 2x(15x + 4) + 3(15x + 4)
Factoring a Binomial There are two possibilities when you are given a binomial. It is a difference of squares There is a monomial to factor out.
4.4 Factoring Trinomials by Grouping BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 Factor out a 3x from the first pair. Since the first term.
Solve x 2 + bx + c = 0 by factoring Section 4.3. What is a trinomial????? It has 3 terms connected by addition or subtraction Example : 3x 2 – 6x + 7.
 Polynomials Lesson 3 Multiplying and Factoring Polynomials using the Distributive Method.
Split the middle term to Factor Trinomials. Factoring trinomials of form: look for GCF find factors of c that add up to b Factors of -8:
Do Now: Write the question and answer.
Objective The student will be able to: use the zero product property to solve equations SOL: A.14 Designed by Skip Tyler, Varina High School.
Integer Exponents. Look for a pattern in the table to extend what you know about exponents to include negative exponents. ÷ –1 10 –
Warm up Factor completely.
8.5 Factoring Differences of Squares (top)  Factor each term  Write one set of parentheses with the factors adding and one with the factors subtracting.
Factor Trinomials 8-4 page 107, example 1 2x 2 – 15x+ 18 When the last term is positive, what are the signs? Both positive? Both negative? Mixed? (+)(+)
Warmups – factor. 1) Write the prime factorization: 224 2) x 2 +19x ) 49y y ) 5xy + 15x + 4y + 12.
POLYNOMIALS.  A polynomial is a term or the sum or difference of two or more terms.  A polynomial has no variables in the denominator.  The “degree.
Factoring Trinomials Chapter 10.4 Part 2. Review: Factoring Quadratic Trinomials Find the factors of the last term. Which of those factors combine to.
Factoring GCF – Greatest Common Factor Difference of 2 Squares Factoring by Grouping Factoring Trinomials.
Factoring Trinomials By Grouping Method Factoring 5/17/20121Medina.
Factoring Polynomials Factoring is the process of changing a polynomial with TERMS (things that are added or subtracted) into a polynomial with THINGS.
Multi- Step Factoring Unit 6 Supplement.
Multiply (x+3)(2x-7) Factor 3. 42x – 7
Solving the Quadratic Equation by Completing the Square
FACTORING TRINOMIALS with leading coefficient
Warm-up: Factor Completely
Factoring Trinomials when a is not equal to 1
Do Now Determine if the following are perfect squares. If yes, identify the positive square root /16.
(x + 4)(x + 7) (x + 14)(x + 2) = x2 + 11x + 28 = x2 + 16x + 28
Warm-up: Countdown to testing Week #5
Chapter 5 – Quadratic Functions and Factoring
Factoring Trinomials of the form
6.4 Factoring Trinomials Day 1.
Do Now Factor. 18a5b2 – 30a3b7 64 – x2 x2 – 10x + 24.
Factoring Using Special Patterns
Factoring Trinomials of the Form x2 + bx + c
Factor By Grouping GCF Factoring twice!.
Factor a difference of squares.
12/25/2018 Opener (2m3 – 4m2 – 11) – (7m3 – 3m2 + 2m)
Factoring Quadratic Trinomials Part 2 (when a is greater than 1)
Objective The student will be able to:
(x )(x ) Factor the trinomial. (x )(x ) (x )(x ) - 24
Add or Subtract? x =.
Concept 2 Difference of Squares.
Factoring Polynomials.
Factoring a Trinomial with a Front “a” Coefficient
Factoring Trinomials with Last Term POSITIVE Guess & Check Method
Warm-up: Factor Completely
Unit 1 Section 3C: FACTORING POLYNOMIALS
Exponent Rules, Multiplying Polynomials, and GCF Factoring
Warm-up: Factor Completely
(x + 4)(x + 7) (x + 14)(x + 2) = x2 + 11x + 28 = x2 + 16x + 28
Warm-up: Factor Completely
Warm-up: Factor Completely
Presentation transcript:

Objective: To be able to factor trinomials. Objective: To be able to factor trinomials.

Example 1 Factor. x 2 − 10 x + 16 To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!

Example 2 Factor. m 2 − 22 m + 21 To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!

Example 3 Factor. d − 7 d To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!

Example 4 Factor. x + x 2 – 12 To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!

Example 5 Factor. y y – 7 To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!

Example 6 Factor. x 2 − 7 x – 18 To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!

Example 7 Factor. -40 − 18 z + z 2 To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!

Homework 9.3 SP 537 #5-16 all