Rational Root Theorem

Rational Root Theorem

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​We use the rational root theorem to find all possible solutions for a polynomial.

​P = Factors of constant

q = Factors of Leading Coefficient​

​

Multiple Choice

Identify the Leading Coefficient and Constant for the following polynomial:

$$3x^3-12x^2+4x-10$$  

• L.C.: 2

  Constant: 3

• L.C: 3

  Constant: -10

• L.C.: 12

  Constant: 3

• L.C.: 3

  Constant: 10

​Find the L.C. and constant for:

​x³ - 2x² + 10x + 8

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Remember!

​When finding factors, it is important to include ± for each factor.

​Find all possible zeros for:

​5x³ - 2x² +20x - 8

P =

q = ​

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​Find all possible zeros for:

​x³ - 13x² +23x - 11

Multiple Choice

Check in: What is the formula we use for rational root theorem?

• $$\frac{a}{b}$$  

• $$\frac{x}{y}$$  

• $$\frac{p}{q}$$  

• $$\frac{l}{c}$$