#### Question

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively

`0, sqrt5`

#### Solution

`0, sqrt5`

Let the polynomial be *ax*^{2} + *bx* + *c*, and its zeroes be α and ß

Given α + ß = 0 = `–b/a`

αß = `sqrt5 ` = `c/a`

If *a* = 1, *b* = 0, c = `sqrt5`

Therefore, the quadratic polynomial is *x*^{2} + `sqrt5`

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Solution Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively 0, √5 Concept: Relationship Between Zeroes and Coefficients of a Polynomial.