. If x - 3 is a factor of x³ - 3x² + Kx - 12 then the value of k is
Answers
Answered by
13
Let p(x) = 0
x - 3 = 0
x = 3
put the value of x in the given equation
p(x) = x³ - 3x² + Kx - 12 = 0
p(3) = 3³ - 3(3)² + k(3) - 12 = 0
p(3) = 9 - 9 + 3k - 12 = 0
p(3) = 3k = 12
p(3) = k = 4
Hope it helps
Answered by
0
The value of k is 4.
Given:
x - 3 is a factor of x³ - 3x² + Kx - 12.
To Find:
The value of k.
Solution:
To find the value of k we will follow the following steps:
As we know,
x-3 is the factor of the polynomial which means at x=3 the value of the polynomial is 0.
Now,
On putting the value of x = 3 we get,
Henceforth, the value of k is 4.
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