A Quadratic Polynomial, the Sum of Whose Zeros is 0 and One Zero is 3, is
By BYJU'S Exam Prep
Updated on: October 17th, 2023
A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3, is
Given:
Sum of the zeros is 0 and One zero is 3.
Since the sum of the zeros is 0, we can conclude that the quadratic polynomial has two zeros that are additive inverses of each other. Let’s denote the zeros as 3 and -3.
We can express the quadratic polynomial using the zeros:
(x – 3)(x + 3) = 0
Expand the equation and simplify further to get the desired result.
Table of content
A Quadratic Polynomial, the Sum of Whose Zeros is 0 and One Zero is 3, is
Solution:
We are given that the sum of the zeros is 0 and one zero is 3.
Let us assume other zero as k.
Since sum of zero is 0, which means:
k + 3 = 0
⇒ k = -3
The zeros of the quadratic polynomial are 3 and -3.
We can express the quadratic polynomial as:
(x – 3)(x + 3) = 0
Expanding this equation, we get:
x2 + 3x – 3x – 9 = 0
Simplifying further, we have:
x2 – 9 = 0
Answer:
Quadratic Polynomial with the Sum of Zeros Equal to 0 and One Zero at 3 is x2– 9
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