Question

Find a quadratic polynomial the sum and the product of whose zeroes are 3 and -4/5

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

given,

α+β = 3.

αβ = -4/5.

we know quadratic formula

x^2x^2-x(α+β)+αβ = 0.

substitute the given values in the above equation.

x^2-x(3)+(-4/5) = 0.

=》x^2-3x-(4/5) = 0.

multiply both the sides with 5.

5[x^2-3x-(4/5)] = 5(0).

5x^2-15x-4 = 0.

therefore 5x^2-15x-4 = 0. is the equation whose sum and the product of whose zeroes are 3 and -4/5 respectively.