0 mehakNewbie Asked: June 14, 20232023-06-14T15:19:15+05:30 2023-06-14T15:19:15+05:30In: CBSE If one of the zeros of the quadratic polynomial f(x) = 4×2 – 8kx – 9 is negative of the other, then find the value of k. 0 find k if one of the zeroes is negative. and explain the importance of this question. Class 10th rd Sharma important question of polynomials chapter. polynomials class 10thrd sharma mathematics cbse Share Facebook 1 Answer Voted Oldest Recent [Deleted User] 2023-09-27T13:57:48+05:30Added an answer on September 27, 2023 at 1:57 pm Solution: From the question, it’s given that The quadratic polynomial f(x) where a = 4, b = -8k and c = – 9 And, for roots to be negative of each other, let the roots be α and – α. So, we can find Sum of the roots = α – α = -b/a = – (-8k)/1 = 8k = 0 [∵ α – α = 0] ⇒ k = 0 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment. Related Questions If α and β are the zeros of the quadratic polynomial p(x) = 4x2 – 5x – 1, ...

Solution:From the question, it’s given that

The quadratic polynomial f(x) where a = 4, b = -8k and c = – 9

And, for roots to be negative of each other, let the roots be α and – α.

So, we can find

Sum of the roots = α – α = -b/a = – (-8k)/1 = 8k = 0 [∵ α – α = 0]

⇒ k = 0