Question

Examine whether (x+2) is a factor of x3
+3x2
+5x+6 and of 2x+4.

Answer 1

Answer:

YES

Step-by-step explanation:

To know whether x+2 is factor of x³+3x²+5x+6 and 2x+4,

we must substitute, x+2= 0, i.e. , x = -2 and to get 0 as final answer

Now,

in x³+3x²+5x+6 , if x = -2

(-2)³+3(-2)²+5(-2)+6 = -8+12-10+6=-18+18=0

Hence, x+2 is a factor of x³+3x²+5x+6

in 2x+4, if x = -2

2(-2) + 4 = 0

Hence, x+2 is a factor of 2x+4

Hope it helps

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