Question

If x+6 is a factor of p (x) =X 3 + 3x2 + 4 x + K find the value of k​

Answer 1

Answer:

k= -279

Step-by-step explanation:

${6}^{3} + 3 \times {6 }^{2} + 4 \times 6 + k \\ = 216 + 108 + 24 + k \\ = 348 + k \\ k = - 348$

Answer 2

Answer:

Factor of p(x) is equal to (-6)

K is equal to (-36)

Step-by-step Explanation:

x value

A factor of p (x)

x + 6

x + 6 = 0

x = 0 - 6

x = (-6)

K value

p(x) =3x + 3 x 2 + 4x + K = 0

p(-6) =3(-6) + 3 x 2 + 4(-6) + K = 0

3 × (-6) + 3 x 2 + 4 × (-6) + K = 0

(-18) + 6 + (-24) + K = 0

(-18) - 6 - (-24) + K = 0

-12 - (-24) + K = 0

-12 + 24 + K = 0

36 + K = 0

K = (-36)