Question

find a quadratic polynomial the sum and product of whose zeroes are -3 and 2 respectively
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Answer 1

Step-by-step explanation:

Given:-

Zeroes are -3 and 2

To find:-

Find a quadratic polynomial the sum and product of whose zeroes are -3 and 2 respectively ?

Solution:-

Given zeroes are -3 and 2

Let they be α = -3 and β = 2

Now we know that

The quadratic polynomial of the zeroes α and β is

K[x^2-(α + β ) x + α β ]

On Substituting these values in the above formula

=> K[x^2-(-3+2)x+(-3×2)]

=> K [x^2 -(-1)x+(-6)]

=> K[x^2+x-6]

If K = 1 then the required Polynomial is x^2+x-6

Answer:-

The required quadratic polynomial whose zeroes are -3 and 2 is x^2+x-6

Used formula:-

The quadratic polynomial of the zeroes α and β is K[x^2-(α + β ) x + α β ] .

Answer 2

Answer:

${x}^{2} + 3x + 2$