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One zero of the polynomial $x^{2} - 8 x + k$ is three times the other.
Using this condition, find the value of $k$ .

Class 10Zeroes and CoefficientsAlgebra — Polynomials

A13
B11
C12
D24

Step-by-Step Solution

Let the zeroes be a and

3 a

. Sum =

4 a = 8

, so

a = 2

. Product =

a * 3 a = 3 a^{2} = 3 (4) = 12 = k

. So

k = 12

.

Answer: C) 12

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