Question

Write a quadratic polynomial sum of whose zeroes is -3 and the product is 6.

Answer 1

Answer:

Let the zeroes/roots of quadratic eqn be a and B.

:. ATFC,

a + B = -3 >> (i)

:. ATSC,

aB = 6 >> (ii)

We know that,

x^2 - (a + B)x + aB = 0 - Formula to form eqn.

x^2 - (-3)x + 6 = 0 - from (i) and (ii)

x^2 + 3x + 6 = 0

The above is the required Quadratic Equation.

Here, I have used a and B instead of ALPHA and BETA.

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