Using synthetic division method, check whether α = 3 is a root o

Question

Using synthetic division method, check whether α = 3 is a root of the polynomial equation:

x⁴ + x³ - 13x² - x + 12 = 0

08 Feb 2025

Answer :

Word Count : 302

To check whether \( \alpha = 3 \) is a root of the polynomial \[ x^4 + x^3 - 13x^2 - x + 12 = 0 \] using synthetic division, we perform the following steps: --- ### Step 1: Write the coefficients of the polynomial. The polynomial is: \[ x^4 + x^3 - 13x^2 - x + 12 \] The coefficients are: \[ 1 \quad 1 \quad -13 \quad -1 \quad 12 \] --- ### ____ _________ _________ ____ ______ _________ _______ ________ ________ ______.
__________ _______ _________ _______ _____ ___ _____.
_______ ________ ______ _________ ________ ________ _________ ____ __________ ____ __________ _____.
_____ _______ __________ _______ ________ ____ ____ ___ _____ _______ ___.
_____ __________ ______ __________ ________ ____ ____.
_________ ____ ___ _________ _________ _______ _________ ________.
_______ ____ __________ __________ _________ _______ ____ ____ _________ ________ _____ ________.
____ ___ _____ ___ ________ __________ _______ ____ ________ _____ ____ _______.
______ ______ ________ _____ __________ __________ _________ _____ _________ __________ ______ __________.
___ ____ _____ ________ ______ _________ ________ __________ _____ _____ _______ _______.
________ _____ _________ _____ ______ ___ _________ ________ ____ ______.
________ _______ ____ _______ ___ ______ ______ ___ __________.
___ __________ _______ _______ __________ _________ ___ ___ _____ _______.
_________ ________ ___ ___ _________ __________ _________ _________ _______.
__________ ________ ________ __________ ________ ________ _________ __________ ___.
___ ______ _____ ________ ______ _____ ____ __________ ____ ______ _____.
_______ _______ ____ ____ ______ ________ _____ ______.
_______ _________ _______ __________ ________ ________ ______ __________ ____ ______ _____.
______ _____ _______ _______ _________ __________ _______ ___ __________ ___ ______.
_______ __________ _______ ________ _____ ________ ___.
__________ ____ _______ ________ _______ ______.
________ _________ _________ ___ _____ _______ ___ ____ ___.
____ _______ ___ ___ ___ __________ ________ _________.
_________ ________ _________ _______ ___ _______.
Get Full Answer on WhatsApp

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★