sam ppt hehe.pptx

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1. FACTORING POLYNOMIALS USING DIFFERENT PROCEDURES

2. HOW TO FACTOR POLYNOMIALS WITH 2 TERMS WHAT IS A PINOMIAL? WHAT ARE TERMS HOW TO FACTOR POLYNOMIALS WITH 3 TERMS HOW TO FACTOR POLYNOMIALS WITH 4 TERMS HOW TO FACTOR CUBIC POLYNOMIALS BY GROUPING FACTORING POLYNOMIALS MENU SUBTOPICS

3. HOW TO FACTOR POLYNOMIALS WITH 2 TERMS WHAT IS A PINOMIAL? WHAT ARE TERMS HOW TO FACTOR POLYNOMIALS WITH 3 TERMS HOW TO FACTOR POLYNOMIALS WITH 4 TERMS HOW TO FACTOR CUBIC POLYNOMIALS BY GROUPING What is a polynomial? As previously stated, a polynomial is a math expression comprised of variables, coefficients, and/or constants separated by the operations of addition or subtraction. The terms of polynomials are individual parts, or monomials, separated by addition or subtraction signs. MENU WHAT IS A PINOMIAL? WHAT ARE TERMS

4. HOW TO FACTOR POLYNOMIALS WITH 2 TERMS WHAT IS A PINOMIAL? WHAT ARE TERMS HOW TO FACTOR POLYNOMIALS WITH 3 TERMS HOW TO FACTOR POLYNOMIALS WITH 4 TERMS HOW TO FACTOR CUBIC POLYNOMIALS BY GROUPING We will start by learning how to factor polynomials with 2 terms (binomials). Whenever you are factoring a polynomial with any number of terms, it is always best to start by looking to see if there is a GCF —or greatest common factor—that all of the terms have in common. MENU HOW TO FACTOR POLYNOMIAL WITH 2 TERMS

5. HOW TO FACTOR POLYNOMIALS WITH 2 TERMS WHAT IS A PINOMIAL? WHAT ARE TERMS HOW TO FACTOR POLYNOMIALS WITH 3 TERMS HOW TO FACTOR POLYNOMIALS WITH 4 TERMS HOW TO FACTOR CUBIC POLYNOMIALS BY GROUPING To factor a three-term polynomial (trinomial): For Quadratic Trinomials (ax^2 + bx + c): Find two numbers "m" and "n" that multiply to "a * c" and add up to "b." Express the trinomial as the product of two binomials: (x + m)(x + n). For Non-Quadratic Trinomials (ax^2 + bx + c where a ≠ 0): Use various factoring techniques, such as the difference of squares, grouping, or trial and error, to factor the trinomial into simpler expressions or binomials. The specific method you use for factoring a trinomial depends on its form and coefficients. MENU HOW TO FACTOR POLYNOMIAL WITH 3 TERMS

6. HOW TO FACTOR POLYNOMIALS WITH 2 TERMS WHAT IS A PINOMIAL? WHAT ARE TERMS HOW TO FACTOR POLYNOMIALS WITH 3 TERMS HOW TO FACTOR POLYNOMIALS WITH 4 TERMS HOW TO FACTOR CUBIC POLYNOMIALS BY GROUPING To factor a four-term polynomial: Group the terms into pairs. Factor out the greatest common factor (GCF) from each pair. Check if there is a common binomial factor between the pairs. If a common binomial factor exists, factor it out. Simplify further if needed. This process is known as factoring by grouping and helps you break down a four-term polynomial into simpler factors. MENU HOW TO FACTOR POLYNOMIAL WITH 4 TERMS

7. HOW TO FACTOR POLYNOMIALS WITH 2 TERMS WHAT IS A PINOMIAL? WHAT ARE TERMS HOW TO FACTOR POLYNOMIALS WITH 3 TERMS HOW TO FACTOR POLYNOMIALS WITH 4 TERMS HOW TO FACTOR CUBIC POLYNOMIALS BY GROUPING MENU HOW TO FACTOR CUBIC POLYNOMIALS BY GROUPING To factor a polynomial by grouping: Identify common factors among the terms. Group terms with common factors together. Factor out the greatest common factor (GCF) from each group. Check for a common binomial factor between the groups. Factor out the common binomial factor. Simplify further if needed. This process helps you break down and factorize more complex polynomials.