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Standard Form of a Linear Equation
01:04

Standard Form of a Linear Equation

The standard form for a linear equation is detailed.

Square Roots of Decimal Numbers and Perfect Square Decimals
02:08

Square Roots of Decimal Numbers and Perfect Square Decimals

Finding the square root of a decimal is discussed, noting that any decimal that does not have an even number of places after the decimal cannot have an exact square root.

Solving Quadratic Equations When Both Sides are Perfect Squares
01:34

Solving Quadratic Equations When Both Sides are Perfect Squares

Solving an equation in which both sides are perfect squares does not require putting the equation into standard form.

Quadratic Equations in Standard Form
03:01

Quadratic Equations in Standard Form

The standard form for a quadratic equation is ax2 bx = 0. It is not always clear whether an equation is a quadratic equation until it is simplified. Any equation that can be written in stand form is a quadratic equation.

Roots Other Than Square Roots
01:24

Roots Other Than Square Roots

Simplifying radicals with cube roots and other roots.

Multiplying Two Factors with the Same Base
01:35

Multiplying Two Factors with the Same Base

The rules for exponents begin with the rule for multiplying two factors with the same base.

Introduction to Factoring Quadratic Trinomials
04:02

Introduction to Factoring Quadratic Trinomials

A quadratic trinomial is a polynomial with three terms. In two of the terms the same variable appears, one that is raised to the second power and the other with an exponent of one. The third term in a quadratic trinomial is a constant. To factor a q...

Dividing Two Monomials with the Same Base
01:09

Dividing Two Monomials with the Same Base

The rules for exponents includes the rule for dividing two monomials with the same base, as demonstrated here.

Square Root of a Negative Number is Not a Real Number, The
01:02

Square Root of a Negative Number is Not a Real Number, The

The square root of any negative number is not a real number. Writing a negative number in radical form is illustrated.