Question

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If alpha and beta are the zeroes of quadratic polynomial x^2 + X - 2 find the values of alpha^2×beta + alpha×beta^2

Answer 1

Answer:

2

Step-by-step explanation:

Given Equation is x² + x - 2.

Here a = 1, b = 1, c = -2

α,β are the zeroes of the polynomial.

(i) Sum of zeroes:

α + β = -b/a

α + β = -1

(ii) Product of zeroes:

αβ = c/a

αβ = -2

Now,

α²β + αβ²

= αβ(α + β)

= -2(-1)

= 2

Hope it helps!