Question

Algebra 1 Homework Help?

Answer 1

I need some help figuring out math problems for my homework project, I can't afford to get this wrong since my grade is low. Help? Snapshot of my textbook here (problem 1):

Answer 2

yup

Answer 3

Yup? xD

Answer 4

which one do u want help with first?

Answer 5

The first equation in the picture. 4.

Answer 6

ok, so the first thing we see is that we can factor out an x from every term

Answer 7

which would give us 2x + 6 / 10x^2

Answer 8

do u see what i did?

Answer 9

Not clearly. Can you explain your steps?

Answer 10

sure. notice all parts have an x right?

Answer 11

Yes.

Answer 12

so, one thing you can do to simplify a fraction is to divide the numerator (top number) and the denominator (bottom number) by the same value

Answer 13

you can separate them since they have the same denominator like \[\frac{ x+x^3 }{ x^2 } \rightarrow \frac{ x }{ x^2 }+\frac{ x^3 }{ x^2 }\]

Answer 14

i don't think you should do that

Answer 15

in this, since they have the same base which is X, just subtract the exponent which is 1-2 and 3-2: the final answer would be \[x^{-1}+x\]

Answer 16

there are tons of approach we can do for this problem, it's just which one a person finds it easier :)

Answer 17

I don't find any of it easy. I'm an English writer, not a math wizard :c I'm still lost on how to actually work the problem fully, I actually don't know how o_o

Answer 18

ok, lets divide the top part by x. that gives us 2x + 6
(x)(2x + 6) = 2x^2 + 6

now lets divide x from the bottom. that gives us 10x^2
(x)(10x^2) = 10x^3

Answer 19

Oh! Okay, that makes sense actually.

Answer 20

So would the second equation 5. be worked the same way?

Answer 21

hold on we are not done yet. notice how all the numbers (coeficients) we have are even? we can divide them all by 2.
so the final answer is (x + 3)/ 5x^2

Answer 22

Oh... I didn't know that...

Answer 23

its the same idea though, you look for numbers or variables that you can divide out

Answer 24

So 5. would be m = 3?