Question

find the sum or the zeroes of the quadratic polynomial x square - 9​

Answer 1

Answer:

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Given,

P(x)=x²-9

Sum of zeroes=-b/a=-0/1=0.

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Answer 2

The sum or the zeroes of the quadratic polynomial x square -9 is 0.

Stepwise explanation is given below:

- f(x) = ax² + bx + c ..... (1)

α and β be the zeros of f(x), then

α + β = - b/a

αβ = c/a

- The given polynomial is (x² - 9)

Now, x² - 9

= x² + 0 * x + (- 9)

- Comparing it with equation (1), we can write

α + β = - b/a

p + q = - 0/1 = 0

- We need to find out only the sum

where p, q are the zeros of (x² - 9)

- Therefore, the sum of the zeros of the given quadratic polynomial is 0.

But there can be one more zero

αβ = c/a

- Comparing it with equation (1), we can write

pq = (- 9)/1 = - 9.