Question

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

Answer 1

Answer:

4x²+x-4

Step-by-step explanation:

Given that,

Sum of the zeroes= 1/4

product of the zeroes = -1

Therefore the quadratic polynomial is ax2+ bx + c is

K ( x²- (alpha + beta) x+Alpha*beta )

i.e. K ( x² -(1/4)x+-1 )

K is a real number

x2+x/4 -1/1

= x²+x-4/4

= 4x²+x-4