Question

If 1&2 are the zeros of the quadratic polynomial, then find the quadratic polynomial.​

Answer 1

Step-by-step explanation:

THE FORMULA FOR FINDING QUADRATIC EQUATION WHEN TWO ZEROS ARE GIVEN IS:-

K {x^2-(alpha+beeta)x+(alpha×beeta)}

HERE, alpha = 1st zero

beeta =2nd zero

K = Any constant (e.g. 1, 2, 3 etc.)

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Answer 2

Given :

• 1&2 are the zeros of the quadratic polynomial,

To find :

• The quadratic polynomial =?

Formula Used :

• The Quadratic Polynomial = x² - (Sum of zeroes)x + Product of zeroes.

Step-by-step explanation :

Sum of zeroes = 1 + 2 = 3

Product of zeroes = 1 × 2 = 2

By Quadratic polynomial = x² - (Sum of zeroes)x + Product of zeroes.

Substituting the values in the above formula, we get,

= x² - (3)x + 2

= x² - 3x + 2

Therefore, the quadratic polynomial = x² - 3x + 2.