Factoring Polynomials - The Distributive Law
Factoring is the process of writing a polynomial as a product of its factors. The distributive law is one of a number of ways to factor polynomials.
Solving Quadratic Equations by Factoring
A quadratic equation in which the quadratic trinomial has a leading coefficient of one can be solved by factoring. An example is given that also utilizes the zero factor property.
Solve: 3x(x - 2) = 14
The equation 3x(x - 2) = 14 is solved using the quadratic formula.
Solving Equations Not Written in Standard Form
Before solving a quadratic equation, it must be written in standard form. The procedure is demonstrated.
Radicand Divided by Another Radicand, A
Simplifying a radical expression by dividing the radical in the numerator by the radical in the denominator.
Negative Exponents in the Denominator
Simplifying an expression with a negative exponent in the denominator, and a formula that makes it easier.
Practical Problem: How Much Land to Buy
A practical problem involving the purchase of land is presented. The available information is organized into a table, an equation is written, then solved using the least common denominator to get a quadratic equation, and the solution checked.
Simplifying the Square Root of Larger Numbers
Simplifying the square root of a larger number.
Solving a Quadratic Equation Using the Quadratic Formula
Quadratic equations that cannot be solved by factoring or the square root method can be solved using the quadratic formula. When an equation is in standard form, the values of a, b, and c, including their signs, can be substituted for the letters in...
Practical Problem: Finding the Amount of Electrical Current
Evaluating a rational expression to find out why a fuse keeps blowing out. Using the formula to find the total resistance of a parallel circuit.