# algebra

Write in Simply form: Can you help?

6x^2+13x+6/3x^2+x-2=

1. 👍 0
2. 👎 0
3. 👁 142
1. (6X^2 + 13X + 6) / (3X^2 + X - 2) =
Factor numerator and denominator and get:
(3X+2)(2X+3) / (3X-2)(X+1).

The AC method was used for factoring:
6X^2 + 13X + 6.

A*C = 6*6 = 36 = 1*36 = 2*18 = 4*9.
Select the pair whose sum equals B(13).
6X^2 + 4X+9X + 6,
Group the 4 terms in factorable pairs:
(6X^2 + 4X) + (9X + 6) =
Factor each binomial:
2X(3X + 2) + 3(3X + 2)=
(3X + 2)(2X + 3).

Repeat the procedure for the denominator.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Algebra 2

1.) The cost in C dollars of manufacturing x bicycles at Holliday's Production Plant is given by the function C(x) = 2x2 - 800x + 92,000. Find the minimum cost. 2.) The vertex of y = -3x2- 6x - 9 lies in which quadrant? 3.) Given

asked by Becka on February 27, 2014
2. ### math ~dont know all but check some~ pls help!!!

1. Draw a model to represent the polynomial x2 + 2x + 4. (1 point) 1 big square, 1 tall rectangle, 4 little sqaures 1 big square, 2 tall rectangles, 4 little sqaures in the shape of an "L" 2 big sqaures, 4 little squares none of

asked by TTR+S<3 on May 21, 2014
3. ### math

solve 6x^3-13x^2+x+2=0 using a graphing calculator. then use your answer to write the given function in factored form. (do not use the factor theorem to factor this.) (6 marks)

asked by Navin on November 25, 2013
4. ### algebra

Factor the polynomial expression. If necessary, use the caret (^) to enter exponents. For example, write x2 as x^2.2x2 + 13x + 15

asked by liz on January 9, 2013
5. ### Math(check)

1)Find the range of the relation [(-1,4)},(2,5),(3,5)}.Then determine whether the relation is a funtion. 4,5,5 is the range 4,5 is a function 2)Find f(-1),if f(x)= x^2-6x/x+2 (-1)^2-6(-1)/-1+2 1+6/-1+2 7/1 =7 3)Find f(a),if f(t)=

asked by erin on July 26, 2007
1. ### Math - Another question to check, sorry... =/

7. 72 is what percent of 480? Write and solve an equation to solve the problem. Step 1. First, I will write out the equation. part = percent x whole Step 2. Now, fill in the partsâ€¦ 72 = p x 480 Step 3. I will simply divide 72 by

asked by Lizzie on February 1, 2016

Given A(-4,-2), B(44), and C(18,-8, answer the following questions Write the equations of the line containing the altitude the passes through B in standard form. Write the equation of the line containing the median that passes

asked by PoPo on January 20, 2017
3. ### math

write this number in word form 310,763,136 write this number in expanded form 20,484,163

asked by colin on September 1, 2015
4. ### Math

Write an equation in the indicated form for each statement described below. (A graph shows two lines intersecting at x=-2 and y= 1 in a tilted X shape) A. Write an equation in slope-intercept form for the line parallel to the red

asked by Mark on February 25, 2017
5. ### Math help, anyone?

Solve the proportion. Where necessary, round to the nearest hundredth. Plz help i really need 2 get this in!! 11. 9/10 = x/10 9 *** 90 10 100 12. x/4 = 6/7 168 0.21 28 3.43 13.Write the ratio as a fraction in simplest form. 22:36

asked by Anna on November 26, 2013
6. ### Chemistry

Using the activity series (Table 4.5), write balanced chemical equations for the following reactions. If no reaction occurs, simply write No Reaction. Chromium metal is immersed in an aqueous solution of cobalt(II) chloride.

asked by Thomas on February 26, 2019