Write the Zeros of the Polynomial x²-x-6

By BYJU'S Exam Prep

Updated on: October 17th, 2023

Write the zeros of the polynomial x²-x-6

Check out the steps to systematically find out the zeros of the given polynomial.

Here, we will use the factorization of the middle term:

Step 1: Find two numbers that multiply to -6(multiplication of coefficient of first and the last term) and add up to -1 (the coefficient of the x term). The numbers -3 and 2 satisfy this condition since -3× 2 = -6 and -3 + 2 = -1.

Step 2: Substitute these numbers into the factored form: x² – x – 6 = (x – 3)(x + 2)

Step 3: Write the polynomial in the form of (x – a)(x – b), where a and b are the zeros: x² – x – 6 = (x – a)(x – b)

Our Apps Playstore
SSC and Bank
Other Exams
GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303
Home Practice Test Series Premium