## Indiana Jones Math

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AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

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Section 4.3: Solve by Factoring Vocabulary ? Monomial: OA 4?ct&in j?W ? Binomial: cuij e'ICS 1uX i-ewis Trinomial: CLAA Cc(.1 tJ9 :!2i *ermS *Some binomials and trinomials will have a Greatest Common Factor (GCF) that we will factor ou7 when factoring ? Solutions to a Quadratic Equation: X-'zef1 (O*5 so W )(-V 0 Greatest Common Factoring Ex1: Factor 3x2 +9x QCF? Ex 2: Factor 4x + 6 .. 3x(*-s x+3) Factoring a Trinomial with a leading coefficient of 1 (iejjx2 + bx + c) -Iind luy 'f&r&c -mc** Ex 3: Factor X2 - 9x+ 20 C, (x-5 I X-4 ) Ex 5: Factor x2 - 3x ?18 (-)(x+3) (14-C oxILt Ex4: Factor x2_3x+93 a tb :: -3 - 01 rj -.t - - - - Special Factoring Patterns ? Difference of Perfect Squares: a2 - - b)(a + b) Ex 6: Factor x2 - 9 xX 3

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Nishat? ?Ahmed ? ?? ?? ?? ?? ?Test? ?Date:? ?9/19/17 TEST? ?1? ?REVIEW? ?SHEET - A? ?polynomial? ?written? ?in? ?standard? ?form? ?has? ?the? ?greatest? ?exponent? ?in? ?the? ?beginning? ?and? ?the constant? ?(or? ?the? ?smallest? ?exponent)? ?at? ?the? ?end.? ?Therefore,? ?the? ?exponents? ?are? ?organized? ?in descending? ?manner. - The? ?degree? ?of? ?a? ?polynomial? ?is? ?equivalent? ?to? ?the? ?value? ?of? ?the? ?greatest? ?exponent? ?in? ?the polynomial. - The? ?leading? ?coefficient? ?in? ?a? ?polynomial? ?is? ?the? ?coefficient? ?of? ?the? ?variable? ?with? ?the? ?greatest exponent. - The? ?constant? ?in? ?a? ?polynomial? ?does? ?not? ?have? ?a? ?variable,? ?it? ?simply? ?a? ?number.

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1.02 Algebraic Expressions Essential Questions After completing this lesson, you will be able to answer the following questions: How do you interpret expressions that represent a quantity in terms of its context? How do you interpret parts of an expression, such as terms, factors, and coefficients? How do you interpret and simplify complicated expressions by viewing one or more of their parts as a single entity? Main Idea (page #) DEFINITION OR SUMMARY EXAMPLE Algebraic Expressions(P.1) An algebraic expression is an expression that contains one or more numbers, one or more variables, and one or more arithmetic operations. There are 4 boxes of video games. If each box contains x number of games: 4x Vocabulary(P.2): Like __________: have identical variable parts

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By now, you should be familiar with variables and exponents, and you may have dealt with expressions like 3x4 or 6x. Polynomials are sums of these "variables and exponents" expressions. Each piece of the polynomial, each part that is being added, is called a "term". Polynomial terms have variables which are raised to whole-number exponents (or else the terms are just plain numbers); there are no square roots of variables, no fractional powers, and no variables in the denominator of any fractions. Here are some examples:Notice the exponents on the terms. The first term has an exponent of 2; the second term has an "understood" exponent of 1; and the last term doesn't have any variable at all.

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Factor
The expression x-a is a linear factor of a polynomial if and only if the value a is a zero related polynomial function.
Remainder
If a polynomial function P(x) of a degree greater than or equal to 1 is divided by the linear factor (x-a), where a is a constant, then the remainder is P(a)

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Factor
The expression x-a is a linear factor of a polynomial if and only if the value a is a zero related polynomial function.
Remainder
If a polynomial function P(x) of a degree greater than or equal to 1 is divided by the linear factor (x-a), where a is a constant, then the remainder is P(a)

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Handout Module 2 Review ? Words for Operations Subtraction Minus Difference between From Less Less than Fewer than Decreased by Take away ?a number minus 2? ?the difference between a number? ?2 from a number? ?a number less 3? ?2 less than a number? ?2 fewer than a number? ?a number decreased by 2? ?a number take away 2? x ? 2 x ? 8 n ? 2 n ? 3 y ? 3 y ? 2 x ? 2 x ? 2 Addition Plus And Added to Greater than More than Increased by Total Sum of ?a number plus 2? ?3 and a number? ?8 added to a number? ?3 greater than a number? ?3 more than a number? ?a number increased by 2? ?the total length? ?the sum of the length and width? x + 2 3 + n x + 8 n + 3 y + 3 y + 2 l1 + 12 + ? l + w Multiplication Times Product At double, triple, etc. Twice Of (fractions of)

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