Polynomial division

Mathematics

1 answer:

Serjik [45]3 years ago

6 0

This is a great place and time to apply synthetic division. Since you are dividing the 3rd order poly by (a+2), let the divisor in synth. div. be -2.

Then:
_________________
-2 / 1 6 12 8

_____-2_-8 -8____________
1 4 4 0

Since there is no remainder, -2 is a root and (x+2) is a factor of the poly.

The quotient comes from those coefficinets 1 4 4

and is 1a^2 + 4a + 4, whose factors are (a+2)^2.

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