Math, asked by kabitamahto1206, 9 months ago

if sum of the zeroes is 9 and product of the zeroes is 14 then find the quadratic polynomial.​

Answers

Answered by DrNykterstein
2

Given,

sum of zeroes = 9

product of zeroes = 14

To Find,

- Quadratic polynomial

Solution

We know,

☛ p(x) = - ( sum of zeroes )x + (product of zeroes)

☛ p(x) = - 9x + 14

Answered by Anonymous
11

Answer:

let \:  \alpha \: and \:  \beta  \: be \: the \: zeroes \: of \: the \: polynomial \\

then \: ( \alpha  +  \beta ) = 9 \: and \: ( \alpha  \beta ) = 14

So,the required polynomial is -

 x^2  - ( \alpha  +  \beta )x + ( \alpha  \beta )

x^2 -9x +14

Hope it's helpful to u

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