Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 370334: Find all of the real zeros of the polynomial P(x)=2x^4-6x^3-52x^2-36x+56
Click here to see answer by jsmallt9(3296)

Question 370206: 1/f = 1/o+ 1/i
The image is in focus at distance i from the lens. For an object that is 600mm from a 50-mm lens, use f=50mm and 0=600mm to find i
Use the formula above to find the image distance i from an object that is 2,000,000mm from a 250-mm telephoto lens... Please I need help with this one. Thanks..
Click here to see answer by Fombitz(13828)

Question 370126: Multiply & simplify. 5x^2-45/15-5x * 2x^2-6x/x+3
Click here to see answer by jsmallt9(3296)

Question 370392: How can I factor this trinomial? 10a^2 - 9a + 2
Click here to see answer by stanbon(57966)

Question 370393: How can I factor this trinomial? 4x^2 - 5xy - 6y^2
Click here to see answer by Alan3354(31518)

Question 370417: 16x^2+22x-3
Click here to see answer by Alan3354(31518)

Question 370424: what is a^6 - b^6
Click here to see answer by Edwin McCravy(8999)

Question 370431: x^4-5x^3-14x^2
Click here to see answer by Alan3354(31518)

Question 370471: Step by step
Factor using the formula for the sum or difference of two cubes
x^3y^3-1
Click here to see answer by Alan3354(31518)

Question 370520: Factor 6x^2-13x+6
Click here to see answer by jim_thompson5910(28715)

Question 370526: I am having difficulty solving this rationa expression and simplfing it can someone help? Solve x-2/x-6-4/x=24/x^2-6x
Click here to see answer by stanbon(57966)

Question 370538: Factor Completely. I have been struggling with trinomials and all nomial but could I get some insight on this problem. Our books are written horribly for us normal math folks. I could use some common sense explanation
Factor Completely:
a^2b + 2ab - 15b
This site has been a savior because of the excellent explaination written for the common person.
Click here to see answer by jim_thompson5910(28715)

Question 370543: 3x^3+2x^2+3x+2
Click here to see answer by mananth(12270)

Question 370543: 3x^3+2x^2+3x+2
Click here to see answer by stanbon(57966)

Question 370509: Addition and Subtraction of Rational Expressions. Reduce each answer to lowest terms.
y/4 +2y
Click here to see answer by robertb(4012)

Question 370596: Explain how to determine which numbers must be excluded from the domain of a rational expression.
Click here to see answer by robertb(4012)

Question 370523: How do you solve this rational expression in proper steps x=9
Click here to see answer by edjones(7569)

Question 370612: A rectangular painting with a width of x centimeters has an area of x^2+50x square centimeters. Find a binomial that represents the length. Any help will be appreciated since all I come up with for the length is x +50x centimeters but have no idea if this is correct
Click here to see answer by scott8148(6628)

Question 370375: Factor the following polynomials completely making use of the given zero
G(x)=x^3-(1-i)X^2-(8-i)x+(12-6i);2-i is a zero
Click here to see answer by jsmallt9(3296)

Question 370439: How do u factor this trinomial 10a^2-9a+2 ?
Ex. 3x^2+10x+8
(4)(2)=8
(3x+4)(x+2)
(3x)(2)=6x
(4)(x)=4x
6x+4x=10x
Click here to see answer by jsmallt9(3296)

Question 370737: Factor
8x3-125
Eight x to the third power minus 125
Click here to see answer by ewatrrr(10682)

Question 370772: I'm not sure if I have the correct type of question, but I need to know how to solve this problem. It is making me crazy!
5/2x+6 + 46/7x = 2
Please help!
Click here to see answer by stanbon(57966)

Question 370784: Solve by factoring and using the principle of zero products:
3x^2 + 8x = 9 + 2x

Click here to see answer by stanbon(57966)

Question 370765: Open top box. Thomas is going to make an open-top box by cutting equal squares from the four corners of 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?
Click here to see answer by scott8148(6628)

Question 370847: I need to factor the following problem: 6x^2 - 13x + 6
It is not making sense to me at all.
6x(x-____+ 1) ??? Is this the start?
Click here to see answer by ewatrrr(10682)

Question 370955: Factor completely
2x^3-2x^2-12x+12
Click here to see answer by stanbon(57966)

Question 370862: The difference of the reciprocals of two consecutive integers is 1/72. Find the integers.
Click here to see answer by ankor@dixie-net.com(15746)

Question 370957: Factor completely
4x^2-8xy+4y^2
Click here to see answer by mananth(12270)

Question 371026: w/x = 9/8 solve for x
Click here to see answer by robertb(4012)

Question 370949: Factoring
6n^2+24n-18
Click here to see answer by robertb(4012)

Question 371043: A circular pool is surrounded by a brick walkway 3 m wide. Find the radius of the pool if the area of the walkway is 198 m^2.
Click here to see answer by mananth(12270)

Question 371054: Hello. I am having trouble with solving inequalites and graphing them and putting them into set builder and interval notation.
2(x+4)<5x+3(x+2).
So far i have gotten 2x+8<8x+6.
Thank you for the help.
Click here to see answer by mananth(12270)

Question 371121: Factor the polynomial
3x^2-18xy-18y+3x
Click here to see answer by Fombitz(13828)

Question 371137: 8- x divied by 2= (6x+1) DIVIDED BY 5
Click here to see answer by stanbon(57966)

Question 371133: 7x+14 divided BY 7x-14
Click here to see answer by robertb(4012)

Question 371159: Divide and simplify : (3p)^11/(3p)^8
Click here to see answer by robertb(4012)

Question 371125: simplify assume that all variablesrepresent non negative real numbers

^X8y5 square root x to the eighth and y to the fifth
Click here to see answer by nyc_function(2733)

Question 371283: Factor:
x^2-12x+32
Click here to see answer by Alan3354(31518)

Question 371283: Factor:
x^2-12x+32
Click here to see answer by ewatrrr(10682)

Question 371282: Factor:
6x^3+6x^2+x+1
Click here to see answer by nerdybill(7003)

Question 371289: Solve the exponential equation.
2^x=32
Click here to see answer by Alan3354(31518)

Question 370727: dividing
2x/x-4 (divide) 8/x2-7x+12)
(note that x2 is x squared.)
the fact that they are not all ax-bx+c is throwing me off.
Not sure how to move forward
Click here to see answer by jsmallt9(3296)

Question 370732: using long division divide x^3+4^2-3x by x^2+4
Click here to see answer by jsmallt9(3296)

Question 370734: using synthetic division divide (5x^3+6x+8) by (X+2)
Click here to see answer by jsmallt9(3296)

Question 371342: the book says to solve by factoring and using the principle of zero products:

x2+4x-21=0
how do you do this?
Click here to see answer by ewatrrr(10682)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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