Question

Find a quadratic polynomial with 4 and 1 as the sum and product of its zeroes respectively.
PLZ TELL STEP BY STEP​

Answer 1

Step-by-step explanation:

given ,

a+b=4

and ab=1

quadratic polynomial for given sum and product of zeores of polynomial is x2-(a+b)x+ab

thus,

the required polynomial is

x2-4x+1

Answer 2

Step-by-step explanation:

Given: Sum of zeroes = α + β = 4

Product of zeroes = αβ = 1

Then, the

quadratic polynomial =x²–(sum of zeroes)x + product of zeroes

= x²– (4)x + 1

= x²– 4x + 1