Find a quadratic polynomial the sum and product of whose zeros are - 1 and minus 20 respectively hence find the zero
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Where s is equal to sum of zeroes& p is equal to product of zeroes
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20
Answer:
The two zeroes are 4 and -5
And the required quadratic equation is : x² + x - 20 = 0
Step-by-step explanation:
Let the two zeros of the quadratic polynomial be a and b
Then according to the given condition in the question, We get
a + b = -1 ......(1) , and
a·b = -20
Putting this value in equation (1)
Putting these values in equation (1)
We get, a = -5 and a = 4
So, the two zeroes are 4 and -5
And the required quadratic equation is : x² + x - 20 = 0
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