Question

Find the value of k so that x +4 is a

factor of 3x
^2 + 14x + k. using polynomials long division​

Answer 1

Answer:

Step-by-step explanation:

Let p ( x ) = 3x² + 14x + k = 0

If ( x + 4 ) is a factor of p ( x )

Then x + 4 = 0 ⇒ x = - 4.

p ( - 4 ) = 3 ( - 4 )² + 14 ( - 4 ) + k = 0

⇒ 3 ( 16 ) - 56 + k = 0

⇒ 48 - 56 + k = 0

⇒ - 8 + k = 0

⇒ k = 8 is the answer.