Drill 17 Simplify each expression Drill 18 Simplify
- Slides: 40
Drill #17 Simplify each expression.
Drill #18 Simplify each expression.
Drill #19 Simplify each expression.
Drill #20 Simplify each expression.
Drill #21 Simplify each expression.
Drill #22 Simplify each expression.
Drill #23 Simplify each expression.
Drill #24 Simplify each expression.
Drill #18 Simplify each expression. State the degree and coefficient of each simplified expression:
6 -1 Operations With Polynomials Objective: To multiply and divide monomials, to multiply polynomials, and to add and subtract polynomial expressions.
Negative Exponents * For any real number a and integer n, Examples:
Example: Negative Exponent *
Product of Powers * For any real number a and integers m and n, Examples:
Example: Product of Powers*
Quotient of Powers * For any real number a and integers m and n, Examples:
Example: Power of a Power*
Power of a Power* If m and n are integers and a and b are real numbers: Example:
Example: Power of a Power*
Power of a Product* If m and n are integers and a and b are real numbers: Example:
Example: Power of a Product*
Power Examples* Ex 1: Ex 2: Ex 3:
Find the value of r that makes each statement true:
Find the value of r * Find the value of r that makes each statement true:
Monomials* Definition: An expression that is 1) a number, 2) a variable, or 3) the product of one or more numbers or variables. Constant: Monomial that contains no variables. Coefficients: The numerical factor of a monomial Degree: The degree of a monomial is the sum of the exponents of its variables.
State the degree and coefficient * Examples:
Polynomial* Definition: A monomial, or a sum (or difference) of monomials. Terms: The monomials that make up a polynomial Binomial: A polynomial with 2 unlike terms. Trinomial: A polynomial with 3 unlike terms Note: The degree of a polynomial is the degree of the monomial with the greatest degree.
Polynomials Determine whether each of the following is a trinomial or binomial…then state the degree:
Like Terms* Definition: Monomials that are the same (the same variables to the same power) and differ only in their coefficients. Examples:
Adding Polynomials* To add like terms add the coefficients of both terms together Examples
To combine like terms To add like terms add the coefficients of both terms together Example
Subtracting Polynomials* To subtract polynomials, first distribute the negative sign to each term in the polynomial you are subtracting. Then follow the rules for adding polynomials. EXAMPLE:
Multiplying a Polynomial by a Monomial* To multiply a polynomial by a monomial: 1. Distribute the monomial to each term in the polynomial. 2. Simplify each term using the rules for monomial multiplication.
FOIL* Definition: The product of two binomials is the sum of the products of the F the first terms O the outside terms I the inside terms L the last terms F O I L (a + b) (c + d) = ac + ad + bc + bd
The Distributive Method for Multiplying Polynomials* Definition: Two multiply two binomials, multiply the first polynomial by each term of the second. (a + b) (c + d) = c ( a + b ) + d ( a + b )
Examples: Binomials
The FOIL Method (for multiplying Polynomials)* Definition: Two multiply two polynomials, distribute each term in the 1 st polynomial to each term in the second. (a + b) (c + d + e) = (ac + ad + ae) + (bc + bd + be)
The Distributive Method for Multiplying Polynomials* Definition: Two multiply two polynomials, multiply the first polynomial by each term of the second. (a + b) (c + d + e) = c ( a + b ) + d ( a + b ) +e(a+b)
Examples: Binomials x Trinomials
Classwork: Binomials x Trinomials
Pascals Triangle (for expanding polynomials) 1 2 1 1 5 3 1 3 4 6 4 10 10 1 1 5 1
- Lesson 4 work with algebraic expressions
- Simplify each expression by combining like terms
- Simplify each absolute value expression
- Simplify each expression.
- Simplify the expression below
- Simplify each expression.
- Simplify each radical expression
- Simplify each expression
- For questions 1–2, simplify each expression.
- Practice 11-1 simplifying radicals
- Simplify each expression
- Simplify each expression
- Simplify each expression using the distributive property
- Rewrite each expression with rational exponents.
- Use the fundamental identities to simplify the expression
- 1/ 5 as a decimal
- What is a constant
- Simplify the following trigonometric expression
- Simplify the expression
- Use the distributive property to simplify the expression
- Simplify the following expression using k-map
- Simplify the expression.
- Simplyfying rational expressions
- Simplify the expression
- Simplify rational expression
- Simplify the expression by combining like terms
- Simplifying algebraic expressions calculator
- Simplify the expression where possible.
- K map
- Quadratic equation
- What is 18/36 simplified
- 8-2 factoring by gcf
- Evaluate each expression integers
- Factor each expression
- Factor each expression
- State the excluded values for each rational expression
- Phrasal verbs choose the correct preposition
- Special cases of factoring
- Show each expression on a number line. solve
- Rewrite each expression by combining like terms
- Identify each line or segment that intersects each circle