Question

detriminte wether x+2 is a factor of x cube +3x square +5x+6 and of 2x+4

Answer 1

Answer: Yes it is factor of both

Step-by-step explanation:

X+2=0

X=-2

Puting value in X³+3x²+5x +6

(-2)³+3(-2)² +5×-2 +6

-8 + 12 -10 +6

=0

Yes it is factor of X³+3x²+5x +6

Puting value of x in 2x+4

2×-2+4

4-4

=0

Yes it is factor of 2x²-4

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Answer 2

Answer: x is not a factor of xcube+3xsquare+5x+6.

x is a factor of 2x+4.

Step-by-step explanation:

x+2=0

x= -2

Putting value of x in first equation we get,

P(x)=(-2)^3+(-2)^2+5(-2)+6

P(x)= -18

P(x) not equal to 0

So x+2 is not a factor of xcube+3xsquare+5x+6.

Putting value of x in second equation we get,

Q(x)=2(-2)+4

Q(x)= -4+4

Q(x)=0

So x+2 is a factor of 2x+4.