Class 10 Maths · Polynomials · NCERT Exercise 2.4 · Question 2

Polynomials Hard

Given that the zeroes of the cubic polynomial

x^{3} - 6 x^{2} + 3 x + 10

are of the form

a, a + b, a + 2 b

for some real numbers

a

and

b

, find the values of

a

and

b

as well as the zeroes of the given polynomial.

Answer

a = - 1, b = 3

(or

a = 5, b = - 3

); the zeroes are

- 1, 2, 5

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