Question

find the quadratic polynomial ,sum and product of whose zeroes are -1 and -20 respectively​

Answer 1

Let a,b be zeroes of given polynomial,

ab= -20

a+b= -1

x^-(a+b)+ab

x^2+x-20

Answer 2

The quadratic polynomial ,sum and product of whose zeroes are -1 and -20 respectively​ is:

$x^2+x-20=0$

Solution:

The general quadratic equation is given as:

$x^2 - ( \text{ sum of zeros } )x + \text{ product of zeros } = 0$

Given that,

Quadratic polynomial , sum and product of whose zeroes are -1 and -20 respectively​

Therefore,

sum of zeros = -1

product of zeros = -20

Thus, quadratic equation is given as:

$x^2 -(- 1)x - 20 = 0\\\\x^2 +x - 20 = 0$

Thus the quadratic equation is found

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