algebra
posted by Ami .
if (6r  x) is on factors of 18r^2 + 12ry  3xr  2xy, what is the other factor.
a) 2y  3r
b) 3r + 2y
c) 3r  2x
d) 3r  2y

Arrange the polynomial in decreasing power of r:
18r^2 + 12ry  3xr  2xy
=18r² + (12y3x)r 2xy
Do a mental long division,
The first term is:
18r²/(6r) = 3r
The last term is:
2xy/(x) = 2y
Therefore the answer is 3r+2y.
Check:
(6rx)(3r+2y)
=18r² + (12y3x)r 2xy
The other factor is correct.
Respond to this Question
Similar Questions

algebra 1
factor 2x3y2+12xydivided by 2xy Divide 2xy into each term, term by term. xy+6 
Algebra
Factor: 3x^2  27 3x^227=0 27+(3x^227)=0+27 3x^2=27 (3x^2)/3=27/3 x^2=9 x=3 Since there is 3x^2, one term must contain 3x and the other x. 27 factors into 3*3*3 or 3*9. With this information, you should be able to factor it yourself. … 
Algebra II
Factor out: 1125b^3 5b 1 is one of the factors. (Consider that an informed guess). Divide that into 1125b^3 for the other (binomial) factor. 
Algebra
Factor out 8x^3y^6 + 27 One factor is 2xy^2+3. (The sum of the cube roots of the first and last terms). Use long division to compute (8x^3y^6 + 27)/(2xy^2 + 3) to get the other factor 
Algebra
Simplify (2xy^2+3)((2xy^2)^2(2xy^2)(3)+(3)^2) This reminds me of (U+a)(U^2 aU + a^2). When mulipltiplied out, one gets a cubic equation. Do you remember the formula for factoring the sum of two cubes? 
Algebra II
One factor of f(x) = x^3 + x^2 22x  40 is x + 4. Find the other factors. I got confused on my work but I ended up with x  6 and x + 1 as the remaining factors 
algebra
factor completely. remember to look first for a common factor. if a polynomial is prime state this. x^2+2xy+y^29 
Algebra
Please look at the following simplification of an algebraic expression. Which line contains the mistake and why? 
Algebra
factor x^35x2x^2+10 factor x^22xy+y^216 Please help with these. Thank you! 
science help
Two factors which cause global climate change are listed below. Factor 1: Volcanic eruptions. Factor 2: Changes in the amount of Sun’s heat received by the Earth’s atmosphere and surface. Which of these statements is correct about …