find the value of K, if 2x - 1 is a factor of the polynomial 6x2 - Kx - 2
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k=1 is the answer .........
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hello friend,
here is your answer,
2x - 1 = 0
2x = 1
x = 1/2
we know,
p(x) = 6x^2 - kx - 2
now, p(1/2) = 6(1/2)^2 - k * 1/2 - 2
= 6(1/4) - k/2 - 2
= 3/2 - k/2 -2
= 3 - k - 4/ 2
= -1-k / 2
2 = -1 -k
2 + 1 = -k
3 = -k
so, k = -3
thank you.
here is your answer,
2x - 1 = 0
2x = 1
x = 1/2
we know,
p(x) = 6x^2 - kx - 2
now, p(1/2) = 6(1/2)^2 - k * 1/2 - 2
= 6(1/4) - k/2 - 2
= 3/2 - k/2 -2
= 3 - k - 4/ 2
= -1-k / 2
2 = -1 -k
2 + 1 = -k
3 = -k
so, k = -3
thank you.
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