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[DOC File]Algebra I Chapter 8
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(4b – 3)(4b – 3) (3x2 - 2x) (7x – 8x2 + 9) Addition and Subtraction of Polynomials: Combine Like Terms between different polynomials using the correct operations to find the sum or difference listed below.
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[DOC File]CHAPTER 3: POLYNOMIAL AND RATIONAL FUNCTIONS
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Finding Polynomials with Given Zeros. If a complex number is a zero of a polynomial function with real coefficients, then its conjugate, , is also a zero. Example: Find a polynomial function of degree 3, having the zeros 1, and . Solution: The number can be any nonzero number. The simplest function will be obtained if we let Then we have
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[DOC File]Math 103 – Study Guide for Chapter 3
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Section 3.2. Solving systems of equations algebraically. By substitution. By addition or elimination. Section 3.8. Word problems – be able to graph by hand the given ... Recognize polynomials. Find the degree of a monomial, and recognize the coefficient. Find the degree of a polynomial, and recognize the leading coefficient.
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[DOC File]Roots of Polynomials
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Classifying Polynomials. Degree (biggest exponent on variable): Leading term (term with highest degree): Leading coefficient (coefficient of leading term): More vocab: see chart p301 in text. Examples: Write the polynomial in standard form. Then classify it by degree and by number of terms.
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[DOC File]College Algebra Lecture Notes, Section 3.2
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Section 3.2: Synthetic Division; The Remainder and Factor Theorems. Big Idea: Just as the zeros of a quadratic function were useful in making its graph and solving problems, the zeros of a general polynomial function are also useful for graphing and equation-solving.
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[DOC File]Algebra 2, with Trig
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degree 3; 1, 2, and -3 as zeros. degree 3; real coefficients and zeros 2i and -3. degree 2; real coefficients and a zero is 3 – 7i. Practice: Find all the zeros for the equation . Hint: The two complex zeros are: 3.5 Graphs of Rational Functions. Rational Function( can be written in the form where and are
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[DOC File]Polynomial Functions and End Behavior
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Holt Algebra 2 6-2 Multiplying Polynomials (y2 – 7y + 5)(y2 – y – 3) Find the product. Example 2B: Multiplying Polynomials Multiply each term of one polynomial by each term of the other. Use a table to organize the products. –15 –5y 5y2 21y 7y2 –7y3 –3y2 –y3 y4 y2 –y –3 y2 –7y 5 The top left corner is the first term in the ...
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[DOC File]Overview - Weebly
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is the sum of the exponents of all the variables in that term. In functions of a single variable, the degree of a term is simply the exponent. Example: The term 5x³ is of degree 3 in the variable x. Leading Term. of a Polynomial is the term of highest degree. Example: The leading term of …
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[DOC File]Chapter 3 – Solving Equations
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Synthetic Division—shortcut to divide a polynomial by a polynomial of degree one, . Do the following example . twice, using long division and synthetic division. When writing the coefficients, use a zero for a missing term. Example: Example: Section 4.4: Real Zeros of a Polynomial. Factoring easy quadratic polynomials reminder: Factor:
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Solving degree 3 polynomials