Question

find the quadratic polynomial whose sum of zeros are product of zeros are respectively 4,1​

Answer 1

Given:

☛ sum of zeroes = 4

☛ product of zeroes = 1

To Find:

☛ Quadratic polynomial

Solution:

We know,

p(x) = x² - ( sum of zeroes )x + ( product of zeroes )

☛ p(x) = x² - 4x + 1

Answer 2

Answer:

Α+β=4

αβ=1

required polynomial=k(x²-(α+β)x+αβ)

                               =k(x²-4x+1)

required polynomial is x²-4x+1 where k=1

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