32.1k views
2 votes
F. determine if (x + 3) is a factor of (x) = 2x3 + x2 –8x + 21 by using synthetic division. if so, find the other factors.

User Akram
by
7.7k points

1 Answer

3 votes
since its x + 3 we use -3


-3| 2 1 -8 21 (these are the # without the x)
___________________

-6 15 -21
-------------------------------
2 -5 7 0

Drag the 2 down, multiple it by -3 to get -6
1+(-6) = -5. -5 * -3 =15 . 15+(-8) = 7
7*-3 = -21. -21 +21 = 0
Since last # is 0 we have a factor.


factor is 2x^2 -5x -7 (we start with a power 1 less the original.)


User Aschultz
by
8.7k points