Question

A quadratic polynomial whose one zero is 6 and sum of the zero is 0 is

Answer 1

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Answer:

x² - 36

Step-by-step explanation:

Since the sum of the zeroes is 0 and one of the zeroes is 6, we need to look for a number that when we add to 6 it should give us 0.

The number when added to 6 will give us 0 is - 6.

This means the other root is - 6.

The roots of the quadratic equation are - 6 and 6.

The quadratic equation is as follows :

(x - 6)(x +6)

Opening the Brackets and expanding we have :

x² - 6x + 6x - 36

= x² - 36.

Answer 2

Answer:

{x}^{2} - 36

Explanation:

given,

one zero of a quadratic polynomial = 6

sum of the zeroes = 0

To find a quadratic polynomial

solution:

firstly, we have to find a number whose sum with 6 gives 0

so, let the zero be a

so, a + 6 = 0

a = -6

So the zeroes are 6 and -6

so now, we have to get the equation using the zeroes

the zeroes are 6 and -6

so x+6 and x-6 are zeroes

so their product will be the equation

(x+6)(x-6)

solving this equation we will get a quadratic polynomial

x(x-6) +6(x-6)

${x}^{2} - 6x + 6x - 36 \\ {x}^{2} - 36$

This is the required polynomial.

Quadratic polynomial is a polynomial which have two or more variables and have the highest degree as 2.