Question

If x+6 is a factor of P(x) = x³+ 3x ² +4+k. find the value of k
Pls answer fast it's current ​

Answer 1

Answer:

k=104

Step-by-step explanation:

since x+6 is a factor of P(x)

using factor theorem,

x+6 = 0

therefore, x=-6

putiing x=-6 in P(x)

P(-6) = (-6)³ + 3 × (-6)² + 4 + k = 0

-216 +( 3 × 36 )+ 4+ k =0

-216 + 108 + 4+k=0

-216 + 112 +k=0

k - 104 = 0

k = 104

Hope this helps you...

Please mark me brainliest

Answer 2

Answer:

132

Step-by-step explanation:

x+6 = 0

==> x = -6

Now, p(x) = x<3> + 3x<2> + 4x + k

= (-6)<3> + 3(-6)<2> + 4(-6) + k

= -216 +3(36) - 24 + k

= -216 + 108 - 24 + k

= k = -132

Also given that (x+6) is a factor of p(x)

So, P(x) = 0

k-132 = 0

k = 132

I hope this is helpful for you and you mark me as a brainlist please