f (x-2 ) is a factor of x^2-5x +3k, then the value of k What number should be subtracted from -2/3 to get -1/6? pls answer its ugent
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Answer:
a) k = 2 b)-1/2
Step-by-step explanation:
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Answer:
1.
The zero of the polynomial x - 2 is given by
x-2 = 0
So x = 2
Let f(x) = x² - 5x +3k
Now by the Remainder Theorem the required Remainder is
Now by the Remainder Theorem the required Remainder is f(2) = 2² - 5×2 + 3k = 3k - 6
So
3k - 6 = 0
3k = 6
k = 2
2.
The required number is
= - 2/3 - (-1/6)
= - 2/3 + 1/6
= (-4+1)/6
= - 3/6
= - 1/2
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