What is the remainder of (x^3 -6x -9x +3) / (x-3)
Please explain, and I do believe that this is Dividing a Trinomial by a Minomial.

Question

What is the remainder of (x^3 -6x -9x +3) / (x-3)
Please explain, and I do believe that this is Dividing a Trinomial by a Minomial.

campbell_st · Answer

is your polynomial correctly written? 

$$P(x) =x^3 - 6x - 9x +3$$

or should it be 

$$P(x) = x^3 - 6x^2 - 9x + 3$$

well there is a thing called the remainder theorem 

your divisor is (x -3) so if you find P(3) you will have the remainder, without division.

anonymous · Answer

The first one is correct.

anonymous · Answer

P(3) what's that? o.o

campbell_st · Answer

well simplify to polynomial 

$$P(x) = x^3 - 15x + 3$$

so evaluate 

P(3) 

that will tell you the remainder..

anonymous · Answer

You've just brought to my attention that I don't know anything in this subject. Not even the basics, because I'm just straight up lost. ._. lol

campbell_st · Answer

ok... so if (x -3) is the divisor then by finding P(3) which means to substitute 3 into your equation, you'll get the remainder... its called the remainder theorem

so 

P(3) = 3^3 - 15(3) + 3

p(3) = 27 -45 + 3

P(3) =-15

so the reminder when $$(x^3 - 15x + 3) \div (x - 3)$$

is -15  called R(x)   for remainder.

anonymous · Answer

You're saying that -15 is the remainder?
\

campbell_st · Answer

yep... without division...

anonymous · Answer

That isn't one of the asnwer choices though >.<

anonymous · Answer

answer*

campbell_st · Answer

what about 

$$\frac{-15}{x -3}$$

campbell_st · Answer

and please check your original equation is 

-6x -9x    and not -6x^2 - 9x...

anonymous · Answer

Ohhh lol I'm sorry.... It's (x^3 -6x -9x +3) / (x-3) . My fault.

anonymous · Answer

i would factor out the equation first.

anonymous · Answer

how would that turn out to be?