Question

find thevalue of k if x-1 is the factor of 3x³+2x²-3x+k​

Answer 1

Answer:

-2

Step-by-step explanation:

if x-1 is the factor of 3x³+2x²-3x+k then

On putting x = 1 the solution of the given equation will be 0

According to the question :

3(1)³+2(1)²-3×1+k = 0

=> 3+2-3+k = 0

=> k = -2

Answer 2

Solution:

p(x)= 3x³+2x² - 3x+k

g(x)= x-1

By, remainder theorem

p(1)= 3(1)+2(1)-3(1)+k

⟹p(1)= 3+2-3+k

⟹p(1)= 2+k

Given that, g(x), is a factor:

2+k= 0

⟹k= -2