Identifying Rational Zeros and Intercepts

The video tutorial explains the rational zeros theorem, which helps find possible real rational zeros of a polynomial function. It involves listing factors of the constant term and leading coefficient, calculating unique possible rational zeros, and identifying non-possible zeros. The tutorial concludes by suggesting graphing the polynomial to visually identify rational zeros.

What does the Rational Zeros Theorem help us find in a polynomial function?

• The possible rational zeros

• The degree of the polynomial

• The derivative of the polynomial

• The integral of the polynomial

What are the factors of the constant term 15?

• 1, 5, 10, 15

• 2, 3, 5, 10

• 1, 3, 5, 15

• 1, 2, 3, 5

Which of the following is a factor of the leading coefficient 6?

• 7

• 4

• 5

• 2

What is the result of dividing the factor 3 of the constant term by the factor 2 of the leading coefficient?

• 1/2

• 3/2

• 1/3

• 2/3

Which of the following is NOT a possible rational zero?

• 5/8

• 5/3

• 1/3

• 1/2

What is a simpler method to identify rational zeros of a polynomial function?

• Using a calculator

• Graphing the polynomial

• Solving algebraically

• Using a table of values

How many real zeros are identified from the graph of the polynomial function?

• Two

• Four

• One

• Three

Which x-intercept corresponds to a zero of x = 3?

• The second x-intercept

• The third x-intercept

• None of the x-intercepts

• The first x-intercept

What is the x-intercept for the zero x = 1/2?

• None of the x-intercepts

• The third x-intercept

• The second x-intercept

• The first x-intercept

Which x-intercept corresponds to the zero x = -5/3?

• The first x-intercept

• The second x-intercept

• The third x-intercept

• None of the x-intercepts