Question

Find a quadratic polynomial whose sum and product of zeroes are –1/2 and –3 respectively.

Answer 1

Answer:

The required equation is given by :

x² - (Sum of the zeroes) x+( Product of the Zeros) =0

⟹ x² - ( - 1/2) x + ( - 3 ) = 0

⟹ 2x²+ x - 6 = 0

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Answer 2

Answer:

sum of quadratic polynomial =_1/2=_b/a

product of quadratic polynomial = -3 ×2/2=6/2=c/a

the equation of quadratic polynomial is ax^2+bx+c(a=2, b=1, c=6)

2x^2+x-6