Find the quotient of the quantity negative 40 times x to the 3rd power minus 12 times x to the 2nd power plus 16 times x all over negative 4 times x.

10x2 + 3x − 4

−40x3 − 12x2 − 4

−10x2 + 3x − 4

10x2 − 3x + 4

Question

Find the quotient of the quantity negative 40 times x to the 3rd power minus 12 times x to the 2nd power plus 16 times x all over negative 4 times x. 

 10x2 + 3x − 4 

 −40x3 − 12x2 − 4 

 −10x2 + 3x − 4 

 10x2 − 3x + 4

anonymous · Answer

PLEASE HELP ME

kainui · Answer

Alright so let's take this one step at a time. I'm here to help if you mess up, so don't worry about making mistakes. Just write the symbol for each word they say. So they start out with:

"negative 40 times x to the 3rd power"

Write it out one step at a time, and I'll check your answer. Try to go further than that if you think you can, just don't let it overwhelm you.

anonymous · Answer

−40x3 − 12x2 − 4

kainui · Answer

Where did you get -4 from?

anonymous · Answer

Because its says negative

kainui · Answer

"40 times x to the 3rd power minus 12 times x to the 2nd power plus 16 times x" doesn't have a 4 in it.

anonymous · Answer

i cant get it

kainui · Answer

Just turn this sentence into all symbols. When you see it say "plus" you write +.. When you see "times" just write *. I know you can do it, just gotta copy each word one at a time into the symbol you already know it is. =D

"40 times x to the 3rd power minus 12 times x to the 2nd power plus 16 times x"

anonymous · Answer

40*x^3-12*x^2+16*x

kainui · Answer

Perfect! Now you just need to finish it, they said it was a quotient (fancy way of calling it a fraction)

"all over negative 4 times x"

After that I can help you simplify it if you need it. =)

anonymous · Answer

-4*x

kainui · Answer

$$\frac{ -40x^3-12x^2+16x }{ -4x }$$ Now, can you divide -4x out of the top of the fraction?

anonymous · Answer

well i cant divide if i cant find my calculater

anonymous · Answer

can u please just divide it for me please

anonymous · Answer

its b right

kainui · Answer

You need to factor out (-4x) from the top of the fraction.

anonymous · Answer

i know but i dont have a calculater

debbieg · Answer

NO, you don't need a calculator! This is algebra and simple factoring. Don't be calculator-dependent! It won't help you get any better understanding of this basic math if we just tell you the answer.

You have to FACTOR the -4x out of each term in the numerator, then you can cancel it with the -4x in the denominator. So you are looking for the expression (which will be a polynomial) that goes in the "?" so that:$$-4x(?)=−40x^3−12x^2+16x$$
Break it up and do it one term at a time:$$-4x(?)=−40x^3$$$$-4x(?)=−12x^2$$$$-4x(?)=16x$$