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Chapter 3 Integrated III Math Vocab
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Terms in this set (17)
Polynomial
A monomial or sum of monomials
Polynomial Function
A function of form f(x)= a>nx^n+a>n-1x^n-1+...+a>1x+a
End behavior
behavior of graph as x approaches -infinity or +infinity
Pascal's Triangle
A triangular array of numbers such as that the # in the nth row are the coefficients of the terms in the expansion of (a+b)^n for whole number values of n
Binomial Theorem
For any positive integer n, the binomial expansion of (a+b)^n is (a+b)^n=nC0A^nB^0+nCn1A^n-1B1+nC2A^n-2b^2+...+nCnA^0B^n
Polynomial Long Division
A method to divide a polynomial f(x) by a nonzero divisor d(x) to yield a quotient polynomial q(x) and a remainder polynomial r(x)
Synthetic Division
Shortcut method to divide a polynomial by a binomial of the form x-k
Factored Completely
A polynomial written as a product of unfactorable polynomials with integer coefficients
Factor by Grouping
A method of factoring a polynomial by grouping pairs of terms that have a common monomial factor
Quadratic Form
ax^2++bx+c, which x is an algebraic expression
Repeated solution
A solution of an equation that appears more than once
Complex Conjugates
Pairs of complex numbers of the forms a+bi and a-bi
Local maximum
The y-coordinate of a turning point of a function when the point is higher than all nearby points
Local Minimum
The y-coordinate of a turning point of a function when the point is lower than all nearby points
Even Function
For a function f, f(x)=f(-x)
Odd Function
For a function f, f(-x)=-f(x)
Finite Differences
The differences of consecutive y-values in a data set when the x-values are equally spaced
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