Applying Rational Zero Test Then Find All of the Zeros

The video tutorial discusses the importance of using both technology and algebraic methods to solve mathematical problems. It introduces the rational zero test to find possible rational zeros of a polynomial and demonstrates how to list these zeros. The tutorial emphasizes the need to verify results algebraically, even when technology provides solutions. It concludes with a demonstration of using synthetic division to verify zeros found through graphing.

Why is it important to verify solutions algebraically even when using technology?

• Algebraic methods are outdated.

• Technology can sometimes be incorrect.

• Algebraic methods are faster.

• Technology is always accurate.

What does the P/Q method help you find?

• The exact zeros of a function.

• All possible irrational zeros.

• All possible rational zeros.

• The factors of a polynomial.

In the P/Q method, what does 'P' represent?

• The degree of the polynomial.

• Factors of the leading coefficient.

• Factors of the constant term.

• Possible zeros of the function.

What is the purpose of using synthetic division in this context?

• To find the degree of the polynomial.

• To verify the zeros found using the P/Q method.

• To calculate the derivative of the function.

• To graph the polynomial function.

Which of the following is a zero of the polynomial as verified by synthetic division?

• 3

• 5

• 7

• 2