Question

find a quadratic polynomial whose zeroes are 2/3 and -1/4

Answer 1

sum of zeros = 2/3-1/4=5/12

product of zero=2/3×-1/4=-2/12

polynomial formed....

x^2-5/12x-2/12

or,

12x^2-5x-2.

HOPE IT HELPS....

BRANIEST PLZZZZZZZZZ

Answer 2

Hi there!

The zeroes given are:

• 2/3 and • -1/4

When the zeroes are given, the formula for finding the quadratic polynomial is:

K{x² - x (sum of zeroes) + (product of zeroes)}

{ Where K is any arbitrary constant..

here,
★sum of zeroes = 2/3 + (-1/4)
= 5/12

★product of zeroes = 2/3 × -1/4
= -1/6

plug-in these values in the formula,

=> K{x² - x(5/12) + (-1/6)}
=> K{x² -5x/12 -1/6}
=> K(12x²-5x-2)/12

Put K = 12
we will get ...
the required polynomial.
i.e. 12x²-5x-2

Hope it helps!