Topic 6 Review Questions

Front

What are the types of roots an equation can have?

Back

An equation can have real roots (distinct or repeated) and complex roots (non-real).

Front

How do you determine the number of real roots from a graph of a function?

Back

Count the number of times the graph intersects the x-axis. Each intersection represents a real root.

Front

What is the definition of a complex number?

Back

Front

What is the formula for finding the roots of a quadratic equation?

Back

Front

What does it mean for roots to be 'distinct'?

Back

Distinct roots are different from each other; they are not repeated.

Front

What is the significance of the discriminant in a quadratic equation?

Back

Front

How do you simplify a polynomial expression?

Back

To simplify a polynomial, combine like terms and factor if possible.

Front

What is the difference between real numbers and complex numbers?

Back

Front

What is the process for dividing polynomials?

Back

Use polynomial long division or synthetic division to divide one polynomial by another.

Front

What is an imaginary number?

Back