Math, asked by donprince4459, 1 year ago

Find a quadratic polynomial the sum and product of whose zeros are - 1 and minus 20 respectively hence find the zero

Answers

Answered by MUneebSofi
15

 {x - sx  + p
Where s is equal to sum of zeroes& p is equal to product of zeroes
Answered by throwdolbeau
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

\implies a =\frac{-20}{b}

Putting this value in equation (1)

\frac{-20}{b}+b=-1\\\\\implies b^2+b-20=0\\\\\implies b = 4\:\:,\:\: or\:\:b=-5

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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