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If alpha and beta are the zeroes of $x^{2} - 5 x + 6$ , find the value of alph $a^{3}$ + bet $a^{3}$ .

Class 10Zeroes and CoefficientsAlgebra — Polynomials

A39
B31
C70
D35

Step-by-Step Solution

Sum = 5, product = 6. alph

a^{3}

+ bet

a^{3} = (s u m)^{3} - 3

(product)(sum) =

125 - 3 (6) (5) = 125 - 90 = 35

.

Answer: D) 35

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