Question

Find a cubic polynomial whose sum of zeros and products of zeros are respectively (1) 1/4, 1/2 (2) 2, 1/3



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Answer 1

Answer:

sorry I don't know answer

Step-by-step explanation:

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Answer 2

Answer:

Let the polynomial be ax

3

+bx

2

+cx+d and the zeroes be α,β,γ.

Sum of the polynomial = α+β+γ=

1

2

=

a

−b

Sum of the product of its zeroes taken two at a time = αβ+βγ+αγ=

1

−7

=

a

c

Product of the root = αβγ=

1

−14

=

a

−d

If a=1,b=−2,c=−7,d=14.

Hence the polynomial is x

3

−2x

2

−7x+14