Question

find tge quadratic polynomial whole sum of zeroes is 0 and product of zeroes. is 8​

Answer 1

GIVEN :-

• Sum of zeroes is 0
• Product of zeroes is 8

TO FIND

The Quadratic equation

TO KNOW :-

• Here they given sum of zeroes and product of zeroes means We have to find the Quadratic polynomial We can find the Quadratic polynomial whose sum of roots and product of roots are

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

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SOLUTION :-

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

Sum of zeroes = $\alpha + \beta = 0$

Product of zeroes $\alpha \beta = 8$

Substitute value in formula

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

$x {}^{2} + (0)x + 8$

$x {}^{2} + 8$

$x {}^{2} + 8$ This is the equation whose sum of roots is 0 and product of zeroes is 8

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Know more about Quadratic equation :-

★The equation whose degree is 2 is called Quadratic equation

★ A quadratic equation has 2 roots

★ We can find the roots by different methods .They are

• Factorisation method
• Quadratic formula
• Complete squaring etc

★ The nature of two roots is determined by discriminant

★ Nature of roots is nothing but Is the roots are real, equal, conjugate , distinct

★ Discriminant of Quadratic equation is b² - 4ac