ccgps algebra day 30 (9-18-13) unit question: in what ways can algebraic methods be used in problems...
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CCGPS AlgebraDay 30 (9-18-13)
UNIT QUESTION: In what ways can algebraic methods be used
in problems solving?Standard: MCC9-12.N.RN.1-3, N.CN.1-3, A.APR.1
Today’s Question:What methods can we use to
multiply polynomials?Standard: MCC9-12.A.APR.1
Objective: To classify polynomials by degree and by number of terms
Classifying Polynomials
Example of a Polynomial
5364 23 xxx
Coefficients
Degrees
Constant
Vocabulary
Degree: is the exponent for each variable.
Degree of the polynomial: is the largest exponent of the polynomial.
Leading coefficient: is the coefficient of the first term.
Descending order/Standard form is how polynomials are written where the terms are placed in descending order from largest degree to smallest.
Classifying Polynomials By Degree
Degree Example Example
Constant 0 6 -3
Linear 1 3x + 4 -7x + 2
Quadratic 2 123 2 xx 46 2 x
Classifying polynomials By # of terms
# of terms Example Example
Monomial 1 3x 27x
Binomial 2 3x + 1 xx 28 3 Trinomial 3 523 26 xx 534 2 xx
Note: Any polynomials with four or more terms are just called polynomials
Genetics
Punnett Squares are diagrams used by scientists to help them to figure out how inherited traits (characteristics) will be distributed.
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We will use something like a Punnett Square today to help us learn how to multiply polynomials!!