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

Mathematics

2 answers:

kogti [31]2 years ago

6 0

Answer:

Step-by-step 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

Delvig [45]2 years ago

4 0

Answer:

Step-by-step 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

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