To find the value of k, we need to use the Factor Theorem which states that a polynomial f(x) has a factor (x-c) if and only if f(c) = 0.

Given that x - 1 is a factor of the polynomial P(x) = 4x^3 + 3x^2 - 4x + k, we can substitute x = 1 into the polynomial and set it equal to zero.

So, we have:

P(1) = 4(1)^3 + 3(1)^2 - 4(1) + k = 0
= 4 + 3 - 4 + k = 0
= k = -3

So, the value of k is -3.

Question

To find the value of k, we need to use the Factor Theorem which states that a polynomial f(x) has a factor (x-c) if and only if f(c) = 0.

Given that x - 1 is a factor of the polynomial P(x) = 4x^3 + 3x^2 - 4x + k, we can substitute x = 1 into the polynomial and set it equal to zero.

So, we have:

P(1) = 4(1)^3 + 3(1)^2 - 4(1) + k = 0
=> 4 + 3 - 4 + k = 0
=> k = -3

So, the value of k is -3.

Knowee AI · Accepted Answer

To find the value of k, we need to use the Factor Theorem which states that a polynomial f(x) has a factor (x-c) if and only if f(c) = 0.

Given that x - 1 is a factor of the polynomial P(x) = 4x^3 + 3x^2 - 4x + k, we can substitute x = 1 into the polynomial and set it equal to zero.

So, we have:

P(1) = 4(1)^3 + 3(1)^2 - 4(1) + k = 0
=> 4 + 3 - 4 + k = 0
=> k = -3

So, the value of k is -3.

Find the value of k, if x-1 is a factor of polynomial P(x)=4x3+3x2-4x+k.