Applying the remainder theorem to identify the remainder of a polynomial divided

The video tutorial explains the remainder theorem and its application in finding the remainder of a polynomial division. It highlights the equivalence of the remainder obtained through synthetic division and evaluating the polynomial at its zero. The tutorial provides a step-by-step example of using the remainder theorem and verifies the result using synthetic division. Additionally, it discusses the relationship between factors and zeros, emphasizing how to determine zeros from factors.

What does the remainder theorem help you find when dividing a polynomial?

• The degree of the polynomial

• The quotient of the division

• The leading coefficient of the polynomial

• The remainder of the division

When using the remainder theorem, what value do you substitute into the polynomial?

• The leading coefficient

• The constant term

• The zero of the divisor

• The degree of the polynomial

What is the result of raising a negative number to an odd power?

• The same negative number

• A positive number

• A negative number

• Zero

How can you verify the remainder found using the remainder theorem?

• By using synthetic division

• By factoring the polynomial

• By using long division

• By graphing the polynomial

How do you find the zero from a given factor of a polynomial?

• Add the factor to the polynomial

• Divide the polynomial by the factor

• Multiply the factor by the polynomial

• Set the factor equal to zero