Synthetic Division
x2-8x+16 divided by x-4
x-4
3x4-6x3-5x+10 is x-2 a factor? Why or why not?
Yes, because using synthetic division you can see that 3x4-6x3-5x+10 divided by x-2 is 3x3-5 with no remainder
x3-7x+6 divided by x-2
x2+2x-3
x3-2x+1 divided by x-1
x2+x-1
Is x+1/3 a factor of 3x4+x3-3x+1? Use synthetic division to justify your answer.
No, there is a remainder.
x3-3x+2 divided by (x+2)
x2-2x+1
x3-21x2+147x-343 divided by (x-7)
x2-14x+49
x4+x3-3x2-2x+1 divided by (x+1)
x3-3x+1
x2+7x+13 divided by (x+4)
x+3+1/(x+4)
x4+2x3-3x2+2x+6 divided by (x+3)
x3-x2+2
3x3-2x2+x-4 divided by (x+3)
3x2-11x+34-106/(x+3)
4x3-10x2-11x+16 divided by (x-4)
4x2+6x+13 + 68/(x-4)
x3-2x+1 divided by (x+1)
x2-x-1 + 2/(x+1)
2x4+2x3-12x2+x+6 divided by x+3
2x3-4x2+1+3/(x+3)
x3-1 divided by (x-1)
x2+x+1
(3x3-2x2+x-4) divided by (x+3)
3x2-11x+34-(106/x+3)
(2x3-6x2-7x+6) divided by (x-4)
2x2+2x+1+10/(x-4)
6x3-10x2-7x-15 divided by (x+1)
6x2-16x+9-24/(x+1)
3x3-5x2+2x+3 divided by (x+2)
3x2-11x+24-45/(x+2)
x5+5x2+x+2 divided by x+1
x4-x3+x2+4x-3 + 5/(x+1)
x5+1 divided by (x-2)
x4+2x3+4x2+8x+16 + 33/(x-2)
4x3-5x2+13 divided by (x+4)
4x2-21x+84-323/(x+4)
5x3-25x2+6x4-30x3 divided by x+5
6x3-55x2+250x-1250+6250/(x+5)
-6x3+x2-4 divided by (2x-3)
-3x2-4x-6 -22/(2x-3)
4x3-12x2-5x-1 divided by (2x+1)
2x2-7x+1-2/(2x+1)