04-06_task

Name: Date: School: Facilitator: 4.06 Rational Roots (42 Points) For the following polynomials list the possible rational zeros. (Do not find the zeros!) 1. P ( x ) = x 5 + 3 x 3 + 2 x – 6 Possible Roots: +1, +2, +3, +6 2. P ( x ) = 3 x 4 + x 3 + 2 x 2 – 2 Possible Roots: + 1 , + 1 3 ' + 2 + 2 3 3. P ( x ) = 2 x 5 + 3 x 4 + 2 x 2 − 2 Possible Roots: + 1 , + 1 2 , + 2 Using the theorems and techniques of this section, find the zeros of the following polynomial: 4. P ( x ) = x 3 − 4 x 2 + x + 6 Possible Roots: +1, +2, +3, +6 Factors: p and q Zeros: Show your work below: 5. Find the zeros of the polynomial P ( x ) = 4 x ³ − 3 x ² − 25 x − 6. Possible Roots: + 1 + 1 2 + 1 4 + 2 + 3 + 3 2 + 3 4 + 6 Factors: p and x Zeros: Show your work below: © ACCESS Virtual Learning 2021