Question

4.
Find a quadratic polynomial, the sum and product of whose zeroes are 3
and
1/2
respectively.
​

Answer 1

Given :-

Sum and product of whose zeroes are 3  and  1/2  respectively.

​To Find :-

quadratic polynomial

Solution :-

We know that

Standard form of quadratic polynomial = x² - (α + β)x + αβ

Sum of zeroes = -b/a

Sum of zeroes = 3 (1)

Product of zeroes = c/a

Product of zeroes = 1/2 (2)

By, putting the value from 1 and 2

x² - (α + β)x + αβ

x² - (3)x + 1/2

x² - 3x + 1/2

2(x² - 3x) + 1

2x² - 6x + 1