A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Express the rational expression in lowest terms: 3x+4/15x^2+26x+8.
anonymous
 one year ago
Express the rational expression in lowest terms: 3x+4/15x^2+26x+8.

This Question is Closed

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.0by "lowest terms" you want to factor this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think so, heres the question again with the choices:

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.0Oh, alright. so you want to factor \(\sf 15x^2+26x+8\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{4 x^2}{15}+29 x+8 \]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.0i'd say your best choice would be to leave it as it is.,

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I"m not sure, but I just wanna know how to solve this

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1do you know how to factor the quadratic equations ???

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1alright there are like 3 ways to factor the quadratic equation but the easy one is AC method you have to find two numbers when you multiply them you should get product of AC and when you add or subtract them you should get the middle term B \[\huge\rm Ax^2+Bx+C\] A=leading coefficient B=middle term C=constant term

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442180776707:dw multiply A C

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.0But @Nnesha the factored terms will not cancel out with the numerator..

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes one of the factor will cancel out with the numerator.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1A=15 B=26 C=8 multiply 15 times 8= 120 now find two number when you multiply them u should get 120 and when u add or subtract them you should get 26

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1what are the two numbers whose sum is 26 and product is 120 ???

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right now we have to apply group method dw:1442182184861:dw make a group of two terms now find take out the common factor from first red box

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.115x^2+20x what is common in these two terms ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1what are the factors of 15 and 20 ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1nvm 5 times 3 =15 5 times 4 = 20 so 5,3 are factors of 15 and 5,4 are factors of 20 and x^2 can be written as x times x so \[\huge\rm (\color{ReD}{5 · 3 ·x ·x} +\color{blue}{ 5 · 4 ·x})\] now can you tell me what's common in red and blue terms ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.015 x squared is equal from the red, and 20x is blue?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes it's 15x^2 +20x but i factored 15 , and 20 so you can find the common factor nvm so \[\huge\rm (\color{ReD}{5} · 3 ·x ·\color{ReD}{x} +\color{red}{ 5} · 4 ·\color{ReD}{x})\] now as you can see 5 and x are common in both terms right ? so take them out \[\huge\rm \color{ReD}{5x}(3x+4)\] understood ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.115x^2 = first term 20x = 2nd term just in case if you're not familiar with it :=)

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.0\[15x^2+26x+8 \implies x^2+26x+120\]\[=(x+6)(x+20)\]\[=\left(x+\frac{6}{15}\right)\left(x+\frac{20}{15}\right)\]\[=\left(x+\frac{\cancel{6}2}{\cancel{15}5}\right)\left(x+\frac{\cancel{20}4}{\cancel{15}3}\right)\]\[\sf \text{cross multiply} : (5x+2)(3x+4)\]\[=\frac{3x+4}{(5x+2)(3x+4)}\] So what would eliminating \(\sf 3x+4\) from the top and bottom give you?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.