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Let’s Begin!!!
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Let’s Review Functions
Daily Questions……. How do I name polynomials? How do I add and subtract polynomials?
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POLYNOMIAL Function: A polynomial is the monomial or the sum of monomials with all exponents as whole numbers and coefficients are all real numbers. Ex- x3+6x2+12x+8
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Is it a polynomial? YES a) NO b) NO c) YES d)
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The terms of a polynomial are in STANDARD FORM when:
they are ordered from left to right in ______________ order; which means from the ____________ exponent to the ____________ decreasing largest smallest
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DEGREE: The _________exponent in the polynomial. It determines the _____________________. largest Number of Zeros Ex: The degree of –7x + 9 – 4x2 is ____ because ___ is the largest exponent in the polynomial. 2 2 Classifying: 0 – Constant 2 – Quadratic 4 - Quartic 1 – Linear 3 – Cubic
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The ______________once in _________________.
LEADING COEFFICIENT: The ______________once in _________________. first coefficient standard form CONSTANT: The term _________________ a variable. without
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STANDARD FORM a. Standard Form: Leading Coefficient: Degree: Constant: b. Leading Coefficient: Standard Form: Constant: Degree:
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B. Their _________ of terms C. Look at the chart for an explanation.
Some polynomials have SPECIAL NAMES that are determined by the following: A. Their _________ or B. Their _________ of terms C. Look at the chart for an explanation. degree number
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Polynomial Name by # of Terms DEGREE Name by Degree
12 8x 4x2 + 3 5x3 + x2 3x2 – 4x + 6 7t4 – 7t + 3 1 Monomial Constant 1 Monomial 1 Linear Binomial Quadratic 2 2 2 Binomial 3 Cubic 3 Trinomial 2 Quadratic 3 Trinomial 4 Quartic
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Adding and Subtracting Polynomials
Combine like terms! SUBTRACTING: Distribute the negative
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Ex. 1
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Ex. 2
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Ex. 3
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Ex. 4
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HOMEWORK Worksheet
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