Name:__________________________
Lesson 34 Video Notes
Rational Zero Theorem
Video 38 – Rational Zeros - https://www.youtube.com/watch?v=7p2yeuAXSCs (6 min)
Rational Zero Theorem: If a polynomial function, written in descending order, has integer
coefficients, then any rational zero must be in the form p/q, where p is a factor of the constant
term and q is a factor of the leading coefficient.
Explain Rational Zero Theorem in your own words:
Follow along with the example at 0:43.
y = x3 + x2 – 4x – 4
Pause at 4:06. List all the possible rational zeros for the function. Press play to check and
follow along.
y = x3 - 4x2 – 3x +18
Name:__________________________
Lesson 34 Video Notes
Rational Zero Theorem
Video 39 – Rational Zeros - https://youtu.be/YMyv9-9VXw4?t=62 (6 min)
Try the following problem and play to check your answer.
Use the Rational Zeros Theorem to make a list of potential rational zeros of the following
polynomial. Then use synthetic substitution to find the zeroes.
y = 2x3 – 5x2 – x +6