Question

Find the quadratic polynomial, the sum and product of whose zeroes are
4 and 1.
2​

Answer 1

Answer:

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

Answer 2

Answer:

α+β=4, αβ=1

Quadratic polynomial

=x²-(α+β)x+αβ

=x²-4x+1