Question

Find the value of k if x - 3 is a factor of 4x3 - 3x2 + 4x + k.​

Answer 1

Answer:

Find the value of k if x - 3 is a factor of 4x3 - 3x2 + 4x + k.​

Step-by-step explanation:

F(x) = 4x3 - 3x2 + 4x + k

F( x = 3) = 4 x 3 - 3 x 2 + 4 x 3 + k

0           =  12 - 6 + 12 + k

0            =  18 + k

k           = - 18

Answer 2

Answer:

The value of k = - 93

Step-by-step explanation:

Given data

$(x-3)$  is factor of  $4x^{3} -3x^{2} +4x +k$

here we need to find k value

let f(x) =  $4x^{3} -3x^{2} +4x +k$

⇒ x- 3 = 0 ⇒  x = 3

⇒ f(3) = 0     [ ∵ (x-3) is factor of f(x) ]  

⇒ f(3) =  4(3)³ - 3(3)² +4(3) +k = 0

          ⇒ 4(27) -3(9) + 12 + k =0

          ⇒ 108 - 27 +12 +k =0      

          ⇒ 93 + k= 0

          ⇒  k = - 93