Question

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

Answer 1

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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Answer 2

Answer:

x²+5x-6

Step-by-step explanation:

Acoording to question

Let the zeroes be a and b .

so, a+b= -5

and a×b= -6

formula for quadratic polynomial whose sum and product of zeroes as a+b and ab respectively is

x²-(a+b)x+ab

so equation=x²-(-5)x+(-6)

x²+5x-6