Question

7.
Find a quadratic polynomial each with the numbers
given below as sum and product of its zeroes
respectively.
8
(1)
-3 -2
5 5
(ii)
7 (iii) (2√3 – 1),(3-√3).
​

Answer 1

Step-by-step explanation:

Standard form of a quadratic polynomial

$x^{2} - ( \alpha + \beta ) + \alpha \beta$

i) Sum of zeroes = -3

Product of zeroes = -2

Polynomial = x^2 + 3x -2

ii) Sum of zeroes = 5

Product of zeroes = 5

Polynomial = x^2 - 5x + 5

iii) Sum of zeroes = (2√3 - 1)

Product of zeroes = (3 - √3)

Polynomial = x^2 - (2√3 - 1)x + (3 - √3)

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