(1) If x = -½
is a zero of the polynomial
p(x) = 8x³-kx²-x+2, find the value of k.
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k= 1 is answer for this problem
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Step-by-step explanation:
Given, x = -1/2. (which is a zero of the polynomial).
As we know that,
P(E) = 8x^3-kx^2-x+2 = 0.
Putting x=-1/2.
Now,,
8×(-1/8)-k/4+1/2+2=0.
; -1-k/4+1/2+2=0.
LCM the fraction,,
Then, we get,,
-4-k+2+8/4=0.
; 6-k=0×4
; 6-k=0.
; k=6.
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