Question

3. Find the quadratic polynomial the sum of whose zeroes is -10 and

product of its zeroes is -39.​

Answer 1

Hey Dear! Here Is Your Answer.

Given :

• Sum Of Zeroes = -10

• Product Of Zeroes = -39

To Find :

• Quadratic Polynomial

Suppose That Zeroes Of Polynomial Is

$\alpha$

And

$\beta$

Formula of Finding the Polynomial :

$= {x}^{2} - (\alpha + \beta )x + (\alpha \beta )$

Putting The Value Of a And b

$= {x}^{2} - ( - 10) x+ ( - 39)$

And, The Polynomial Will Be

${x}^{2} + 10x - 39 = 0$

Hope It Helps.

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Always Remember This Foramula For Finding Polynomials.

${x}^{2} - ( \alpha + \beta )x + ( \alpha \beta ) = 0$