If (x+2) is a Factor x^3 + 2x^2 + 2x + k then find the value of K.

Question

asked Feb 19, 2022 36.4k views

2 Answers

Aerows · Answer 1 · 2022-02-21T12:41:18+0000

Answer:

Explanation:

If (x + 2) is a factor of a polynomial then ( - 2 ) is the zero of that polynomial ⇒ ( - 2 )³ + 2( - 2 )² + 2( - 2 ) + k = 0 ⇒ k = - 4

Allolex · Answer 2 · 2022-02-25T22:56:26+0000

Answer:

4

Explanation:

if x+2 is a factor of the above expression then,

x=-2

so putting the value of x in above expression we get,

(-2)^3+2×(-2)^2+2×(-2)+k=0

or,-8+8-4+k=0

k=4