If one of the zeroes of polynomial: ax2 + bx + c is zero then value of c is
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Answer:
c = 0
Step-by-step explanation:
The value of c is given by product of the zeroes(or roots) = c/a
Since one of the zeroes (root) is 0, product will be 0
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Step-by-step explanation:
A. b - a + 1 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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