Question

Q.12. Find a quadratic polynomial each with the given numbers as the sum and product of its
zeroes respectively:- (a)1/3,-1
​

Answer 1

Answer:

3x²- x - 3

Step-by-step explanation:

Quadratic Polynomial whose Sum is -b/a and Product is c/a is

ax²+bx+c

We have Sum as 1/3... and product was -1, Then the polynomial is

3x²- 1 - 3

Answer 2

Answer:

K [ 3x² - x - 3 ]

Step-by-step explanation:

Sum (α + β) = 1/3

Product (αβ) = -1

Polynomial = K [ x² - (α+β)x + αβ ]

(K here is a constant)

   == K [ x² - x/3 -1 ]

   == K [ 3x² - x - 3 ]

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