Polynomial Operations and Functions

This video covers the top 10 topics in a typical algebra course, including linear equations, absolute value, inequalities, quadratic equations, systems of equations, polynomials, logarithms, rational functions, radical functions, and sequences and series. Each topic is explained with key concepts and methods for solving and graphing equations.

What is the slope of two parallel lines?

• They intersect at 90 degrees.

• They have the same slope.

• They have different slopes.

• They are negative reciprocals.

How does an absolute value graph typically appear?

• As a circle

• As a parabola

• As a straight line

• As a V shape

Which method is NOT used to solve quadratic equations?

• Graphing inequalities

• Using the quadratic formula

• Factoring

• Completing the square

What is a system of equations?

• An equation with no solution

• A single equation with one variable

• Multiple equations with multiple variables

• A polynomial equation

What is the result of multiplying two polynomials?

• A logarithmic function

• A rational function

• A polynomial

• A single term

What is the base of the logarithm in log base 4 of 16?

• 4

• 2

• 8

• 16

What is a vertical asymptote in a rational function?

• A point where the graph crosses the x-axis

• A line where the graph approaches but never touches

• A point where the graph crosses the y-axis

• A line where the graph intersects the x-axis

How do you add radical expressions like √18 + √50?

• Add the coefficients after simplifying

• Subtract the smaller radical from the larger one

• Add the numbers under the radicals

• Multiply the radicals

In an arithmetic sequence, what is the common difference?

• The number you subtract from each term

• The number you divide by

• The number you add to each term

• The number you multiply by

What is the common ratio in a geometric sequence?

• The number you subtract from each term

• The number you multiply by

• The number you divide by

• The number you add to each term