1.

Find the quadratic polynomial whose sum of zeroes are -5,-6​

Answer»

Step-by-step EXPLANATION:

Let ∝ = 2 and β = -6

Sum of the zeroes = (∝ + β) = 2 – 6 = -4

Product of the zeroes, = 2(-6) = -12

Required quadratic polynomial is

X2 – (∝+β)x + ∝β

= x2 – (-4)x – 12

= x2 + 4x – 12

And,

Sum of the zeroes = – 4 = -4/1 = (-Coefficient of x)/(Cofficient of x2)

Product of zeroes = -12 = -12/1 = CONSTANT TERM / Coefficient of x2

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