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Flashcards for Math Grade 10 A EOT Review
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Method 1 for Adding Polynomials
Adding polynomials by grouping and combining like terms horizontally.
Method 2 for Adding Polynomials
Adding polynomials by aligning like terms vertically and adding.
Method 1 for Subtracting Polynomials
Subtracting polynomials by grouping and combining like terms horizontally after distributing the negative sign.
Method 2 for Subtracting Polynomials
Subtracting polynomials by aligning like terms vertically and subtracting.
Steps to simplifying polynomial expressions
Distribute -1, Group like terms, Combine like terms
Multiplying Polynomials
Distributive Property
FOIL Method
Technique used to multiply two binomials: First, Outer, Inner, Last
Long Division
Method for dividing polynomials by reversing the arithmetic operations
Synthetic Division
A simplified method of polynomial division used in cases where the divisor is a linear factor.
Dividend
The number to be divided
Divisor
The quantity by which another quantity is to be divided.
Quotient
The solution (answer) to a division problem
Remainder
The amount left over after division
Remainder Theorem
States that if a polynomial f(x) is divided by x - c, then the remainder is f(c).
Rational Root Theorem
A theorem that provides a method for finding all possible rational roots of a polynomial equation.
Roots of a Polynomial Equation
The solutions or values of x that make the polynomial equation true.
Zero Product Property
A polynomial function may equal 0
Pascal's Triangle
A triangular arrangement of numbers where each number is the sum of the two above it, used to determine coefficients in binomial expansions.
Binomial Theorem
A method for expanding binomials raised to a power, using coefficients from Pascal's Triangle or combinations.
Degree of polynomial
The variable term with the highest exponent in a single variable polynomial expression.
Leading Coefficient
The coefficient of the term with the highest degree in a polynomial.
Inverse Functions
Functions that undo each other.
Relative Maximum
A point at which a function attains a maximum value relative to its neighboring points.
Relative Minimum
A point at which a function attains a minimum value relative to its neighboring points.
Domain
The set of all possible input values (x-values) for which a function is defined.
Range
The set of all possible output values (y-values) that a function can produce.
x-intercept
The point where a graph intersects the x-axis.
y-intercept
The point where a graph intersects the y-axis.
Zeros
Values of x where the function changes from positive to negative or vice versa.
Function
A relation such that each element of the domain (input) is associated with exactly one element of the range (output).
Binomial
A polynomial with two terms.
Trinomial
A polynomial with three terms