Question

Create a unique example of dividing a polynomial by a monomial and provide the simplified form. Explain, in complete sentences, the two ways used to simplify this expression and how you would check your quotient for accuracy.
@ParthKohli @satellite73

Answer 1

Erm, why don't you try to create the two of them yourself?

Answer 2

Because I'm having trouble understanding the lesson as it is. :P

Answer 3

@phi ? :)

Answer 4

a polynomial has multiple terms
a monomial (mono means 1 in some language) has 1 term

they want you to make up a polynomial, and make up a monomial
then divide the monomial into the polynomial

Answer 5

see http://www.purplemath.com/modules/polydefs.htm
for examples (though you must have seen many examples by now)

Answer 6

4x^2+6x+2 can be my polynomial, right?

Answer 7

sure

now make up a monomial I would make it simple like 2x

Answer 8

Ok, 2x it is,

Answer 9

now watch this (4 minutes long)
http://www.khanacademy.org/math/algebra/polynomials/dividing_polynomials/v/polynomial-divided-by-monomial

Answer 10

@phi http://www.sketchtoy.com/35481798 Did I do it right? :)

Answer 11

@amistre64 Am I doing this right?

Answer 12

almost. the first part is correct

but for
\[ \frac{6x}{2x} \]
the 6/2 is 3 (you got the part right)
but x/x is 1 (anything divided by itself is 1)

the last term
\[ \frac{2}{2x} \]
you have to keep the x in the bottom . the 2/2 is 1 so you get
\[ \frac{1}{1x} \text{ or just } \frac{1}{x} \]

Answer 13

you can check your answer by multiplying it by 2x

you should get back the original polynomial

Answer 14

http://www.sketchtoy.com/35482961 Like this?

Answer 15

perfect

Answer 16

Thanks!

Answer 17

no wait!, the 2nd term should not have an x, because x/x is 1

Answer 18

What should it be?

Answer 19

6x/2x = 3

Answer 20

Okay, I thought so. I fixed it. Thanks again ~