Question

Check wheather x+3 is a factor of
x^3 +3x^2 + 5x + 15?​

Answer 1

Answer:

yes

Step-by-step explanation:

to check whether x+3 is a factor of the given expression there are two methods:

The extremely boring , tiresome and loong method of polynomial division .......

or

the short and relatively easy method of factor theorem

substitute x=-3

you will get 0 which means x+3 is indeed a factor

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Answer 2

Answer:

GIVEN: g(x) = x + 3 = 0

x = -3

p(x) = x^3 +3 x^2 + 5 x + 15

p(-3) = (-3)^3 + 3 (-3)^2 + 5(-3) + 15

p(-3) =  -27 + 27 -15 +15

p(-3) = 0

Therefore x + 3 is factor of x^3 +3 x^2 + 5 x + 15

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Step-by-step explanation: