solve this plzzzz only question 2
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Answer:
k = 6 is the answer.
Step-by-step explanation:
✔If x - 1 is a factor of p (x) = x^3 - kx^2 + 11x -6 then,
✔p (1) = 0.(by factor theorem)
✔p(x) = x^3 - kx^2 + 11x - 6
✔p(1) = 1^3 - k X 1^2 + 11 X 1 - 6
✔p(1) = 0
So,
➡1 - k + 11 -6 = 0
➡12 - 6 - k = 0
➡6 - k = 0
➡-k = -6
k = 6
Krais:
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x-1=0
x=1
Now,put x=1
x^3-kx^2+11x-6=0
(1)^3-k(1)^2+11×1-6=0
1-k+11-6=0
12-6-k=0
6-k=0
-k=-6
k=6
hope this will helps yu
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