Question

How do you solve this by synthetic division
2x^3 + 9x^2 + 7x - 6

Answer 1

you can use rational root theorem divide the factors of constant by factors of leading coefficient

Answer 2

so possible zeroes can be +-3/2 +-1 +-1/2 then you plug those in to see which one will give you a zero
which is 1/2

Answer 3

do you get it so far

Answer 4

some what

Answer 5

okay after you know what your zero is you do synthetic division or long division I never really understood synthetic division but long division works just as well so if you absolutely have to do synthetic division I can't help you but if you want me to explain long division I will

Answer 6

Sure as long as you can get the roots that way

Answer 7

okay so just go back to elementary division divied the top by the bottom
i cant really show you here but ill try
2x^3 + 9x^2 + 7x - 6/x-0.5 since you know that .5 is a zero then the equation will be x-0.5=0

Answer 8

so 0.5 is one root whats the other

Answer 9

2x^2+10x+12
_______________________
x-.5 ) 2x^3 + 9x^2 + 7x - 6
-(2x^3-x^2)
10x^2+7x
-(10x^2-5x)
12x-6
-(12x-6)
0

Answer 10

then you use the answer you get to get the other zeroes just factor 2x^2+10x+12

Answer 11

do know how to factor that, if not do you want me to explain it or just give you the answers