Question

find a quadratic polynomial whose sum and product of its zeroes are 0, root 7.......

Answer 1

Step-by-step explanation:

Given -

• Sum of zeroes are 0
• product of zeroes are √7

To Find -

• A quadratic polynomial

Now,

As we know that :-

• α + β = -b/a

→ 0/1 = -b/a .... (i)

And

• αβ = c/a

→ √7/1 = c/a .... (ii)

Now,

From (i) and (ii), we get :-

a = 1

b = 0

c = √7

As we know that :-

For a quadratic polynomial :-

• ax² + bx + c

→ (1)x² + (0)x + (√7)

→ x² + 0x + √7

Hence,

The quadratic polynomial is x² + √7

Answer 2

Answer:

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quadratic polynomials' formula :

x^2 - ( a + b )x + ( ab )

where a and b are alpha , beta respectively .

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solution :

x^2 - ( 0 )x + ( √7 )

..............

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may something missing in your question , mate. ........