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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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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