Question

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively -1/4,3

Answer 1

sum of zeroes= -1/4
product of zeroes= 3
quadratic poly= x^2- (sum of zeroes) x + product of zeroes
= x^2- (-1/4)x+3
x^2+1/4x+3
4x^2+x+12

Answer 2

Hi there !

Sum of zeroes  = -1/4

Product of zeroes = 3

Quadratic polynomial is given by:-

k ( x² - [ sum of zeroes ] x + [ product of zeroes ] )
, here "k" is a constant.

x² - [-1/4 ]x + 3
 = x² +1/4x + 3

to remove the fraction , we multiply the terms with 4

4[x² +1/4x + 3]
4x² + x + 12

4x² + x + 12 is the required polynomial.

Hope this helps you !!