find the value of K if ( x-1) is a factor of x³-2x²+x+k
Answers
Answer:
0
Step-by-step explanation:
if x-1 is a factor of x³x³-2x²+x+k,
then, x=1
Now, put x value in the given equation
(1)³-2(1)²+1+k=0
1-2+1+k=0
0+k=0
k=0
Solution:-
We have
=> f(x) = x - 1
=> g(x) = x³ - 2x² + x + k
We know that
=> f(x) = 0
=> x - 1 = 0
=> x = 1
Now
=> g(1) = 0
=> x³ - 2x² + x + k = 0
Where x = 1
=> (1)³ - 2 × 1² + 1 + k = 0
=> 1 - 2 × 1 + 1 + k = 0
=> 1 - 2 + 1 + k = 0
=> 2 - 2 + k = 0
=> 0 + k = 0
k = 0
So Value of k = 0
About linear equation
=> Linear equations are equations of the first order. These equations are defined for lines in the coordinate system. An equation for a straight line is called a linear equation. The general representation of the straight-line equation is y=mx+b, where m is the slope of the line and b is the y-intercept.