Question

find the quardic polyinomial if sum andproduct of zeros are 0and root 5​

Answer 1

Given :–

• Sum of zeros = 0
• Product of zeros = √5

To Find :–

• The quadratic polynomial.

Solution :–

Formula :–

Quadratic polynomial = x² – (α + β)x + α × β

Here values of α + β and αβ are:

• α + β = 0
• α × β = √5

Now put the values in the quadratic polynomial formula.

So,

⟹ x² – (0)x + √5

We know that, any integer is multiply by 0 then the result is also 0.

⟹ x² – 0 + √5

⟹ x² + √5

Hence,

The quadratic polynomial is x² + √5.

Answer 2

Answer:

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