Question

The binomial x + 2 is the divisor of 4x3 – 9x2 – 30x + 8. Explain how you use synthetic division to find the quotient. Be sure to provide this quotient in your answer.

Answer 1

division is division, it doesnt matter if youre using numbers or polys

Answer 2

i read over the synth part .....

Answer 3

find the value of x that makes the divisor go zero; that will be our "root" (r)

Answer 4

make sure the poly is all filled in; all the powers are in order and nothing is skipped

Answer 5

then its ready for the synth part

Answer 6

so first just put it in decending order, gotcha. Then what?

Answer 7

find your root, your zero for the divisor: x+2 = 0 when x=-2. r = -2

you can strip the variables or leave them in; it might be more intuitive to leave them in; they add nothing to the mathing of it

4x3 – 9x2 – 30x + 8
0 <-- add this row
---------------------
r ) <-- multiply this row

Answer 8

4x3 – 9x2 – 30x + 8
0 -8 34 -8 <-- add this row
---------------------
-2 ) 4 -17 4 0 <-- multiply this row

4x2 -17x +4 ; use those values to construct the quotient with

Answer 9

Thank you!