Question

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Find the quadratic polynomial, the product and sum of whose zeroes are -20 and -1 respectively. Also find the zeroes of the polynomial so obtained.
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Answer 1

Let the factor (zeroes of polynomial) be x and y

So, xy=-20

x+y=-1

Polynomial is given is :

x^2 - (sum of zeroes)*x + (product of zeroes)=0

x^2 +x-20= 0

(x+5)(x-4) =0

x=4,-5

Step-by-step explanation: