Math Grade 10 A EOT Review

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Flashcards for Math Grade 10 A EOT Review

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32 Terms

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Method 1 for Adding Polynomials

Adding polynomials by grouping and combining like terms horizontally.

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Method 2 for Adding Polynomials

Adding polynomials by aligning like terms vertically and adding.

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Method 1 for Subtracting Polynomials

Subtracting polynomials by grouping and combining like terms horizontally after distributing the negative sign.

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Method 2 for Subtracting Polynomials

Subtracting polynomials by aligning like terms vertically and subtracting.

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Steps to simplifying polynomial expressions

Distribute -1, Group like terms, Combine like terms

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Multiplying Polynomials

Distributive Property

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FOIL Method

Technique used to multiply two binomials: First, Outer, Inner, Last

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Long Division

Method for dividing polynomials by reversing the arithmetic operations

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Synthetic Division

A simplified method of polynomial division used in cases where the divisor is a linear factor.

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Dividend

The number to be divided

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Divisor

The quantity by which another quantity is to be divided.

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Quotient

The solution (answer) to a division problem

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Remainder

The amount left over after division

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Remainder Theorem

States that if a polynomial f(x) is divided by x - c, then the remainder is f(c).

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Rational Root Theorem

A theorem that provides a method for finding all possible rational roots of a polynomial equation.

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Roots of a Polynomial Equation

The solutions or values of x that make the polynomial equation true.

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Zero Product Property

A polynomial function may equal 0

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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.

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Binomial Theorem

A method for expanding binomials raised to a power, using coefficients from Pascal's Triangle or combinations.

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Degree of polynomial

The variable term with the highest exponent in a single variable polynomial expression.

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Leading Coefficient

The coefficient of the term with the highest degree in a polynomial.

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Inverse Functions

Functions that undo each other.

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Relative Maximum

A point at which a function attains a maximum value relative to its neighboring points.

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Relative Minimum

A point at which a function attains a minimum value relative to its neighboring points.

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Domain

The set of all possible input values (x-values) for which a function is defined.

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Range

The set of all possible output values (y-values) that a function can produce.

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x-intercept

The point where a graph intersects the x-axis.

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y-intercept

The point where a graph intersects the y-axis.

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Zeros

Values of x where the function changes from positive to negative or vice versa.

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Function

A relation such that each element of the domain (input) is associated with exactly one element of the range (output).

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Binomial

A polynomial with two terms.

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Trinomial

A polynomial with three terms