Question

If (x – 1) is a factor of 5x + k – 8, then the value of ‘k' is ​

Answer 1

Step-by-step explanation:

Given that x+1 is factor , which implies remainder is 0

substitute x=−1 in given equation , which is equal to remainder

So we get 1−K+2+1=0 , which implies K=4

Answer 2

Given

x-1 is a factor of the given equation 5x+k-8

To find

We have to find the value of x

$\sf\huge {\underline{\underline{{Solution}}}}$

Since,x-1 is a factor of the given equation

So, x-1 must be equal to zero.

=> x-1=0

x=1

x=1 will satisfies the given Equation

Now, put x's value into the Equation

=> 5x+k-8=0

=>5(1)+k-8=0

=> 5+k-8=0

=> k-8+5=0

=> k-3=0

=> k= 3

Therefore,k=3

Check:

=> 5x+k-8=0

=> 5(1)+3-8

=> 8-8=0