  # For What Value of k, (-4) is a Zero of the Polynomial x²-x-(2k+2)

By BYJU'S Exam Prep

Updated on: October 17th, 2023 k=9. We can find the value of k by using the below mentioned steps.

Here are the steps in detail:

• Simplify the expression inside the parentheses and combine like terms.
• Set the expression equal to zero, since -4 is a zero of the polynomial and solve for k by isolating it on one side of the equation

Table of content ## For What Value of k, (-4) is a Zero of the Polynomial x²-x-(2k+2)

Solution:

To find the value of k for which -4 is a zero of the polynomial x²-x-(2k+2), we can substitute -4 into the polynomial and solve for k.

Substituting -4 into the polynomial, we get: (-4)²-(-4)-(2k+2)=0

Simplifying:

16+4-2k-2=0

20-2k-2=0

18-2k=0

Now, let’s solve for k:

18-2k=0

-2k=-18

2k = 18

k=9

Therefore, the value of k for which -4 is a zero of the polynomial x²-x-(2k+2) is k=9. GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 help@byjusexamprep.com