Box Method for Factoring

Slides:

Advertisements

Similar presentations

FRACTION PROBLEMS TYPE I TYPE II

Advertisements

Tic-Tac-Toe Factoring

When you are multiplying two binomials use FOIL. FOIL stands for First Outer Inner Last When you multiply two binomials you generally end up with three.

Learning Algebra Amber Elsner 8 th Grade Algebra Click for the next slide.

Column Method for Subtraction. Steps to success 1.Put the largest number on top. 2.Place the digits in the correct column. 3.Show the subtraction and.

Factoring Polynomials Because polynomials come in many shapes and sizes, there are several patterns you need to recognize and there are different methods.

X-box Factoring. Step 1: Set up X- Box Factor ax 2 + bx + c Product a  c Sum b.

You have to pay £87 per week for your rent. You have to pay the rent for 51 weeks of the year. How much will you pay over the year?

Lesson 8-6 Warm-Up.

Solving Quadratic Equations

Box Method for Factoring Factoring expressions in the form of.

4.4 & 4.5 Notes Remember: Identity Matrices: If the product of two matrices equal the identity matrix then they are inverses.

4th Grade Math Multiplying 2-digit by 2-digit Numbers Using the Area Model / Box Method.

Matrices Addition & Subtraction Scalar Multiplication & Multiplication Determinants Inverses Solving Systems – 2x2 & 3x3 Cramer’s Rule.

5.4 Factoring Greatest Common Factor,

UNIT 2 – QUADRATIC, POLYNOMIAL, AND RADICAL EQUATIONS AND INEQUALITIES Chapter 6 – Polynomial Functions 6.3 – Dividing Polynomials.

Converting between Decimals, Fractions and Percentages

A)Factoring by Decomposition Factoring Polynomials: Type 2: Quadratic Trinomials with a Leading coefficient = 1 1.Multiply a and c 2.Look for two numbers.

How to Multiply using Lattice. Step 1: How many boxes to you need? 23 X 5 You need 2 boxes on top and 1 on the side.

STEP 1 Multiply the digits in the ones place. Write the product in the ones place of the answer box. If the product is greater than ten, carry the number.

Polynomials and Polynomials Operations

Step 1: Place x 2 term and constant into the box 2x 2 2 PROBLEM: 2x 2 + 5x + 2.

 Example 1: -2(3)  If there is only one negative it will be a negative answer.  -2(3) = -6.

Synthetic Division. Review: What is a polynomial? How do we know the degree of the polynomial?

9 TH GRADE ALGEBRA I Semester I Study Guide: Part II Name: ________________________________ Parent Signature: ___________________________________________.

Section 4.4. a) Factor x 2 + 5x - 36 (x + 9)(x – 4) b) Factor 2x 2 – 20x + 18 Hint: factor out a 2 first 2(x-9)(x-1) c) Factor 2x 2 + x – 6 Why doesn’t.

A “Difference of Squares” is a binomial ( *2 terms only*) and it factors like this:

What is Matrix Multiplication? Matrix multiplication is the process of multiplying two matrices together to get another matrix. It differs from scalar.

Lattice Multiplication. Step 1 1)Draw a set of 2 by 2 boxes. 46 x 79 2) Cut the boxes in half diagonally. 3) Place the numbers on the outside of the boxes.

Operations and equations

Polynomial – a monomial or sum of monomials Can now have + or – but still no division by a variable. MonomialBinomialTrinomial 13x 13x – 4 6x 2 – 5x +

Box Method for Factoring Factoring expressions in the form of.

4.4 Factoring Quadratic Expressions Learning Target: I can find common binomial factors of quadratic expressions. Success Criteria: I can find the factors.

Math 8H Algebra 1 Glencoe McGraw-Hill JoAnn Evans 8-4 Factoring Trinomials ax 2 + bx + c.

Exponents and Monomials. Monomial is an expression that is a number, a variable, or a product of a number and variables. Constant is a monomial containing.

♣Multiplying Decimals♣

12-4: Matrix Methods for Square Systems

Synthetic Division of Polynomials

Copy each problem. Then factor.

Box Method for Factoring

Exponents and Monomials

Solving Equations… Always “I.I.S” an equation I (isolate) I (inverse)

Factoring x2 + bx + c ax2 + bx + c when a=1

Basic Factoring Review

Adding and Subtracting Decimals

Factoring Quadratics December 1st, 2016.

Adding and Subtracting Decimals

Lattice Multiplication

Math-2 Honors Matrix Gaussian Elimination

Exponents and Monomials

Factoring Trinomials.

First we need to draw a place table grid. Then write our number in it

Factoring Trinomials.

Lesson Combining Like Terms, Continued

Lesson Combining Like Terms, Continued

Factoring trinomials in form ax2 + bx + c

Exponents and Monomials

Divide the paper into three sections.

How to Multiply using Lattice

Task Planner for Column Subtraction Step What to do How it should look

3.6 Multiply Matrices.

Task Planner for Column Subtraction Step What to do How it should look

Factoring Trinomials.

How to subtract Step What to do How it should look (282 – 57) ✓ 1

Adding and Subtracting Decimals

Exponents and Monomials

Tic-Tac-Toe Factoring

Lattice Multiplication

Presentation transcript:

Box Method for Factoring Factoring expressions in the form of

Box Method for Factoring We are going to factor the expression First draw a box and divide into quarters.

Box Method for Factoring Now we are going to place the terms of the expression into the box. Look at the expression: Place the in the top left box. Place the -2 in the bottom right box. -2

Box Method for Factoring Now we are going to multiply the coefficient of the first term by the constant. (15) (-2) = -30 -2

Box Method for Factoring Now we are going to list the factors of 30. 30 1 30 2 15 3 10 5 6 Are there any pair of numbers that would equal -7?

Box Method for Factoring We just found the factors of -30 that have a sum of -7! We will place those factors in the box with an “x” It doesn’t matter which box you put them in. -10x -2 3x

Box Method for Factoring Now we are going to pull out the common factors from each row and column. Last sign out of the box determines the sign. 3x -2 5x -10x -2 3x 1

Box Method for Factoring We now have the factors of The factors are: (5x + 1)(3x - 2)