find the value of k if -1 is zero of the polynomial p(x)= kx² - 4 x + k
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p(x) = kx^2 - 4x + k
p(-1) = -1x^2 - 4x + (-1)
p(-1) = -x^2 - 4x - 1
p(-1) = (-x)(-x) - 4x - 1
p(-1) = x - 4x - 1
- 1 = -3x
1/3 = x
Therefore, the value of k is 1/3
p(-1) = -1x^2 - 4x + (-1)
p(-1) = -x^2 - 4x - 1
p(-1) = (-x)(-x) - 4x - 1
p(-1) = x - 4x - 1
- 1 = -3x
1/3 = x
Therefore, the value of k is 1/3
Answered by
1
Step-by-step explanation:
Put value of x =-1
P(-1) = k×[-1] - 4×[-1] ± k =0
k+4+k =0
2k+4=0
2k= -4
K=-4/2
k= -2
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