Question

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

Answer 1

Answer: 12x^{2}+5x-2=0

Step-by-step explanation:

Given : Zeroes are 2/3 and -1/4

To Find: Find the polynomial

Solution:

formula of polynomial = x^{2}+(\alpha+\beta)x+\alpha\beta=0

Where α = 2/3

β =  -1/4

so putting values in formula:

x^{2}+(\frac{2}{3} -\frac{1}{4} )x+(\frac{2}{3}* \frac{-1}{4})=0

x^{2}+\frac{5}{12}x+\frac{-2}{12}=0

12x^{2}+5x-2=0

Hence the required expression is 12x^{2}+5x-2=0