Math, asked by amaansheikh662, 1 day ago

a)

If one of the zeroes of cubic polynomial x² + ax²+bx+c=0 is-1 then the product of the other two zeroes will be:




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Answers

Answered by IIBrainlyArpitII
1

Answer:

Here is u r answer

Step-by-step explanation:

let α, β & γ be the zeroes of the polynomial

p(x) = x3 + ax2 + bx + c and α = - 1

(Given) Zeroes of a polynomial is all the values of x at which the polynomial is equal to zero. i.e. p (α) = p(- 1) = 0

= (- 1)3 + (- 1)2a + (- 1)b + c = 0

= - 1 + a - b + c = 0

= c = 1 - a + b

Product of zeroes = - (constant term) ÷ coefficient of x3

i.e. Product of zeroes = - c αβγ = - c = βγ = c = βγ = 1

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