if the zeros of the polynomial x^2-8x+K =0 are the HCF of 6,12 , then find the value of k
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Answered by
111
Correct Question:-)
lf the zeros of the polynomial x^2-8x+K are HCF of 6 ,12 then find the value of k.
(if we put equality sign then it will become an equation)
Solution:-)
Firstly
we have to calculate HCF of 6 , 12
As,
6 = 2 × 3 .
12 = 2 × 2 × 3
So,
HCF of 6, 12 is 2 × 3 = 6 .
lt is provided that zero of the polynomial
is HCF of 6 and 12.
So,
zero of the polynomial is 6.
And after putting 6 at place of X in the given polynomial the polynomial will become zero i.e.
36 - 48 + k = 0
k = 12 .
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44
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