Answer:
False
Explanation:
From the question, we can see that a quadratic polynomial is made up of two elements or variables called zeros in this question
From the question, we are told that one variable (zero) = 6
The second variable (zero) = unknown , therefore we can represent the second variable as Y
We are told that the sum of the variables = 0
This means:
6 + Y = 0
Therefore, Y = 0 - 6
Y = -6.
The second variable ( zero) = - 6
Since it is a quadratic polynomial,
The roots of the polynomials are the variables 6 and -6
Hence, we have:
(x + 6) (x - 6) = 0
Expanding the brackets
x² - 6x + 6x - 36 = 0
= x² - 36 = 0
Therefore, a quadratic polynomial whose one zero is 6 and sum of the zero is 0 is x² - 36 = 0
This means the statement made in the question above "A quadratic polynomial whose one zero is 6 and sum of the zero is 0 is x²-6" is false
