Factoring Review and Factoring Trinomials. Find the factors of the term and identify as prime or composite. 18:

Slides:

Advertisements

Similar presentations

FACTORING TRINOMIALS with leading coefficient

Advertisements

Factoring Polynomials

To factor a trinomial of the form: x2 + bx + c

Introduction to Factoring 2 ∙ 3 = 6 4 ∙ 2 = 8 3 ∙ 3 ∙ 3 ∙ 3 = ∙ 3 ∙ 5 =

Section 9-6 Day 1 Factoring Trinomials ax 2 + bx + c Day 1.

Solve Notice that if you take ½ of the middle number and square it, you get the last number. 6 divided by 2 is 3, and 3 2 is 9. When this happens you.

FACTORING SPECIAL CASES. The vocabulary of perfect squares Perfect squares are numbers like 4, 9, 16, 25, etc. Any variable to an even power is a perfect.

Multiply. (x+3)(x+2) x x + x x Bellringer part two FOIL = x 2 + 2x + 3x + 6 = x 2 + 5x + 6.

Introduction to Factoring 2 ∙ 3 = 6 4 ∙ 2 = 8 3 ∙ 3 ∙ 3 ∙ 3 = ∙ 3 ∙ 5 =

Chapter 8: Factoring.

Section 5.4 Factoring FACTORING Greatest Common Factor,

Factoring – GCF, Grouping, & a = 1

Factoring Polynomials. 1.Check for GCF 2.Find the GCF of all terms 3.Divide each term by GCF 4.The GCF out front 5.Remainder in parentheses Greatest Common.

Chapter 8: Factoring.

Bell Ringer 2/20/15 Completely Factor & Check your answer. 1.Factor: 2x x Factor: y 2 + 4y Factor: 75x 2 – 12.

Factoring a polynomial means expressing it as a product of other polynomials.

B. deTreville HSHS FACTORING. To check your answer to a factoring problem you simplify it by multiplying out the factors. The expression can be factored.

Factoring Trinomials of the Form ax2 + bxy + cy2

Factoring Trinomials with Common Factors Grouping Method.

Factoring Trinomials with ax 2 + bx + c 6x x Now you need to find the right combination of numbers in the correct order.

Purpose: To factor polynomials completely. Homework: P odd.

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.

Solving Quadratics: Factoring. What is a factor? Numbers you can multiply to get another number 2  3.

Use the Distributive Property to: 1) simplify expressions 2) Solve equations.

Unit 6 Factoring Polynomials  Greatest Common Factor  Factoring by Grouping (Four Terms)  AC Method (3 Terms)  Difference of Two Squares (2 Terms)

Who Will Be the Champion? Place Value Jeopardy DivisibilityMultiplying Three Digit by a One Digit Multiplying Two Digit by a One Digit Multiplication and.

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:

Factoring Special Products. Factoring: The reverse of multiplication Use the distributive property to turn the product back into factors. To do this,

To factor means to write a number or expression as a product of primes. In other words, to write a number or expression as things being multiplied together.

5-4 Factoring Quadratic Expressions M11.A.1.2.1: Find the Greatest Common Factor and/or the Least Common Multiple for sets of monomials M11.D.2.1.5: Solve.

Section 6.3 Special Factoring. Overview In this section we discuss factoring of special polynomials. Special polynomials have a certain number of terms.

Factoring Polynomials. 1.Check for GCF 2.Find the GCF of all terms 3.Divide each term by GCF 4.The GCF out front 5.Remainder in parentheses Greatest Common.

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? (+)(+)

Combining Terms Review on Distributive Property a (b + c) = ab +bc (b + c) a = ba + ca.

To factor means to write a number or expression as a product of primes. In other words, to write a number or expression as things being multiplied together.

Factoring a polynomial means expressing it as a product of other polynomials.

Factoring Trinomials of the Type: ax 2 + bx + c Most trinomials can be factored even when the leading coefficient is something other than 1. Examples of.

Visit For 100’s of free powerpoints.

(reverse of Distributive Property; factor out the common stuff) 6x – 9 = 2·3·x - 3·3 = 3(2x – 3) 5x 2 + 8x = 5·x·x + 2·2·2·x = x(5x+8) 10x 3 –15x 2 =2·5·x·x·x-3·5·x·x=5x.

Difference of Squares Recall that, when multiplying conjugate binomials, the product is a difference of squares. E.g., (x - 7)(x + 7) = x Therefore,

Factoring Trinomials.

Square Root Method Trinomial Method when a = 1 GCF

using the Diamond or "ac" method

Distributive Property with Equations

Do Now Determine if the following are perfect squares. If yes, identify the positive square root /16.

Factoring Polynomials

Chapter 5 – Quadratic Functions and Factoring

THE DISTRIBUTIVE PROPERTY: Factoring the Expression

Factoring Review AMT.

Objective Factor polynomials by using the greatest common factor.

Factoring Trinomials A

Factoring Trinomials.

Factoring Polynomials

Using Several Methods of Factoring

GREATEST COMMON FACTOR

= x2 + 8x + 12 = x2 – 81 = x2 – 6x + 9 = 2x2 + 5x – 25 = x2 – 16

The Distributive Property

Factoring Polynomials

Ex 1. Factor the Trinomial Always look for a GCF First!!

Factoring Trinomials.

Section 5.5 Factoring Polynomials

Factoring Polynomials.

Factoring a Trinomial with a Front “a” Coefficient

Factoring Trinomials with Last Term POSITIVE Guess & Check Method

Factoring Trinomials.

Factoring Polynomials.

Factoring Trinomials.

Exponent Rules, Multiplying Polynomials, and GCF Factoring

Ex 1. Factor the Trinomial Always look for a GCF First!!

Factoring Quadratic Trinomials Part 1 (when a=1 and special cases)

Presentation transcript:

Factoring Review and Factoring Trinomials

Find the factors of the term and identify as prime or composite. 18:

Write the prime factorization of the term -70a 2

Find the GCF of the terms 32a 24ab

Use distributive property to factor the terms. If the term cannot be factored, write prime. 15x – 25x 2

Factor the trinomial. If the term cannot be factored, write prime. X 2 – 9x + 8

Solve for each trinomial. (2x + 5)(x – 9) = 04y 2 – 6y = 0

Rules for factoring trinomials Make sure the problem is in descending order. Use distributive property to pull out any common term from every part and write that GCF in front of all the parentheses. Find the pairs that multiply to make the first and third terms. Fill factors into the two parentheses so that the cross multiplication will make the middle term. Don’t forget to check your signs using the pattern you have in your notes. You can also check your work by multiplying back the problem to see if you get what you started with.

Factor each trinomial. If the trinomial cannot be factored, write prime. 7x 2 – 16x + 45t t – 12

6p 2 – 20p a 2 – 15a + 4

6x 2 + x – 128n 2 – 36n + 40

16a 2 =816b 3 -24b 2 +24b = 0