Question

. A quadratic polynomial whose one zero is 6 and the sum of the zeroes is 0, is x*2-6

Answer 1

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