Question

Find the. Value of k if (x-1) is a factor of X square +kx

Answer 1

☛${\sf{Answer}}$: k = -1

${\sf{Step\:by\:step\: explanation}}$→

Given Polynomial : p (x) = x² + kx

•As (x - 1) is a factor of of p(x) , therefore on putting x = 1 in the given equation , we should get 0

=> (1)² + k × 1 = 0

=> 1 + k = 0

•°• k = -1

Hence the value of k = -1

Extra Info :

• Polynomial is an algebraic expression that consists of several terms .
• The highest power of a variable in polynomial is called its degree .
• Here the degree of polynomial is 2 as the highest power to which the variable x is raised is 2.

Answer 2

Step-by-step explanation:

hope it's helpful to you ☺️