# Algebra Revisted

## 23 terms · Review vocab

Allows us to get an equivalent equation by adding the same expression to both sides of the equations

### Algebraic Expression

Is an expression that contains at least one variable

### Binomial Theorem

Helpful in learning how to expand binomials, such as (x + y)^n, especially for large values of n.

### Distributive Property

Use to multiply polynomials.

### Equivalent expression

Give the same numerical value for every number in the domain for the expressions.

### Even Function

If f(x) = f(-x) for all values in its domain.

### Factor

To write the polynomial as the product of factors.

### Like Terms

Have the same variable(s) withe the same exponent(s).

### Multiplicative Property of Equality

Allows us to get an equivalent equation by multiplying both sides of the equation by the same number as long as the number used is not zero.

### Odd Function

If f(-x) = -f(x) for all values in its domain.

### Polynomial

An algebraic expression that contains one or more monomials separated by + or - signs.

For all real numbers x and y, where x>0 and y>0, then the square root of xy = square root of x times square root of y.

Is an equation that can be written in standard form
ax^2 + bx + c = 0

For all real numbers x and y, where x >0 and y >0. the square root of (x divide by y) is equal to the (square root of x) divide by the (square root of y).

An equation that has a radical with a variable under the radicand.

### Rational Equation

An equation that contains one or more rational expressions.

### Rational Expression

Is the ratio of two polynomials, P (sub 1) divided by P (sub 2) where P (sub 2) does not equal 0.

### Roots

Solutions of the equation ax^2 + bx + c = 0, can be determined by finding the values of x where the graph of the function crosses the x-axis, otherwise known as the x-intercepts.

### Rotational Symmetry

180 degrees about the origin is the same as point symmetry of relection through the origin

### Simplest form

When the numerator and denominator in the rational expression have no common factors other than 1.

### Square Root

The opposite process of squaring a number

### Term

Each monomial for the polynomial.

### Zero Product Property

That if a and b are ral numbers such that the product ab equals 0, then a = 0 or b = 0.

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