Question

find a quadratic polynomial each with the given number as the sum and product of it's zero respectively. -1÷4, 1÷4​

Answer 1

Answer:

x=0

1(0)÷4(0)+1+4(0)

0÷0+5(0)

=0

Answer 2

Step-by-step explanation:

let the zeroes of the quadratic polynomial be α and β

given that ,

sum of zeroes =  -1÷4 = -1/4

α + β = -1/4

product of zeroes = 1÷ 4 = 1/4

α . β = 1/4

using the formula to make a quadratic polynomial when the sum and product of its zeroes is given

p(x) = x² - (α + β)x + (α . β)

p(x) = x² - (-1/4)x  + 1/4 = x² + x/4 +1/4

multiplying the equation with 4 we get,

p(x) = 4x² + x + 1  is the polynomial