Question

if (x-1) is a factor of kx³+x²+2x -2. find the value of k​

Answer 1

Answer:

c ) -1

Explanation :

( x - 1 )

x = 1

kx³ + x² + 2x - 2

k = ?

Substitute x value in the Equation ;

k ( 1 ) + 1 + 2 - 2

k + 1

k = -1

Answer 2

Answer:

(c) -1

Step-by-step explanation:

p(x) = kx³+x²+2x -2

If (x-1) is a factor of p(x) then, p(1) = 0

∴p(1) = k(1)³ + (1)² + 2(1) - 2 = 0

=> p(1) = k + 1 + 2 - 2 = 0

=> p(1) = k + 1 = 0

=> p(1) = k = -1

∴ The value of k in kx³+x²+2x -2 is -1.

Hope this helps.