Question

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Find the polynomial whose zeros are given as under Alpha equals to minus 1 Beta equals to minus 2

Answer 1

Answer:

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Answer 2

QuestioN :

Find the polynomial whose zeros are given as under Alpha equals to minus 1 Beta equals to minus 2

GiveN :

• α = -1
• β = -2

To FiNd :

• Polynomial

ANswer :

Polynomial = x² + 3x + 2

SolutioN :

Let the polynomial be ax² + bx + c.

If α is zero of the polynomial then ( x - α ) is the factor of the polynomial.

So, ( x - ( - 1 )) = ( x + 1 ) is the factor of the polynomial.

Similarly, ( x - ( - 2 )) = ( x + 2 ) is the factor of the polynomial.

So,

ax² + bx + c = ( x + 1 )( x + 2 )

ax² + bx + c = x² + 2x + x + 2

ax² + bx + c = x² + 3x + 2

∴Hence, Polynomial = x² + 3x + 2

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