Question

Find the zeroes of quadratic polynomial x2 -x +1

Answer 1

Step-by-step explanation:

Given:

zeroes of the polynomial are 3 and -1

To find:

The quadratic equation

Solving Question:

We are given the zeros of the polynomial and have to find the polynomial with the given zeros .We can find the answer using these formula

If α and β are the zeros

α +β =-b/a

α * β =c/a

Solution:

α +β =-b/a

⇒ 3+ (-1)

or, 3-1

or, 2

or, α +β =-b/a = 2

⇒ a = 1 ; b = -2

α * β =c/a

⇒ 3*(-1)

or, -3

or, α * β =c/a = -3

⇒ c = -3

Standard form of a quadratic equation = ax² + bx +c = 0

∴ k( x² - 2x -3 = 0 ) , where 'k' is a constant.

Answer 2

Answer:

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