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

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 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Question 335335: A goldsmith has two alloys that are different purities of gold. The first three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be melted and mixed in order to obtain a 6-ounce mixture that is two-thirds pure gold? Click here to see answer by nyc_function(2733)

 Question 336150: The problem is factoring polynomials a^2-10a+24 and 3x^2+18x+27 Thanks! Click here to see answer by jim_thompson5910(28704)

 Question 336182: Rational Expressions Find all numbers for which the rational expression is undefined: - 4/3x Is there a solution, set of solutions or all real numbers are undefined? If there is a solution or solutions, what are they? Thanks in advance. Click here to see answer by jim_thompson5910(28704)

 Question 336195: Rational expression: q+7/q = -8 (reads q + 7 over q = -8) What is the solution? Thanks in advance. Click here to see answer by stanbon(57956)

 Question 336193: Rational expressions: w/6 - w/15 = 1/6 (written out) (w over 6 - w over 15 = 1 over 6) What is the solution? Thanks in advance. Click here to see answer by jsmallt9(3296)

 Question 336611: Choose the correct simplification of the expression . g to the 5th power h to the 4th power divide by g to the 2nd power h to the 3rd power? A: g to the 7th power h. B: g to the 3rd power h. C: g to the 7th power h to the 7th power. D: g to the 3rd power divided by g to the 7th power. Click here to see answer by edjones(7569)

 Question 336612: 9 divided by h^-3? A: h^3 divided by 9 B: 9 divided by h^3 C: 9h^3 D: already simplified? Click here to see answer by Fombitz(13828)

 Question 336614: what is the product of the sum and the difference of two numbers equal the difference of their squares expressed algebraically? Click here to see answer by Fombitz(13828)
 Question 336614: what is the product of the sum and the difference of two numbers equal the difference of their squares expressed algebraically? Click here to see answer by edjones(7569)

 Question 336633: Solve x^2=8, where X is a real number Thank you! Click here to see answer by edjones(7569)

 Question 336543: Solve for x. (x^4) * 3(x-1)^2 + (x-1)^3 * 4x^3 = 0 Click here to see answer by Fombitz(13828)

 Question 336618: Part 1: Show the expanded form and simplification of x^4 divided by x^2 Explain in your own words how you can simplify x^4 divided by x^2 without having to write the expanded form. Part 2: Create your own fraction with like bases, coefficients, and show its simplification. Click here to see answer by jim_thompson5910(28704)

 Question 335873: what is the reducing rational expression of 2y+1/y^2-y-6 Click here to see answer by Fombitz(13828)

 Question 336700: Reduce to lowest term a^2 - b^2 a - b Click here to see answer by Fombitz(13828)

 Question 336695: Which number cannot be used in place of the variablein each rational express 2y + 1 y^2-y-6e Click here to see answer by vleith(2825)

 Question 336734: q(x) = x4 – 10x2 + 9 8.5 When I asked my teacher. She said to factor, try substituting y = x2 to create q(y); substitute back in so you have q(x) again, and then keep factoring—you should have four factors when done. I have to solve then graph. Thanks for your help Click here to see answer by Fombitz(13828)

 Question 336745: How can i simplify this? I'm working with rational expressions. Those are the exponents above the X. 3/4 2/3 X + X (Y) __________ 1/4 X Click here to see answer by Fombitz(13828)

 Question 336806: An irrational number is a real number within a radical sign. Is that sometimes,always, or never? Explain. Click here to see answer by jim_thompson5910(28704)

 Question 336882: How do I represent the product of 3 less than twice x and 2 more than the quantity 3 times x as an expression? Click here to see answer by rfer(12727)

 Question 336887: HEY, MY NAME IS KWAISHAWN AND I'M TAKING ALGEBRA 2. TODAY, I HAVE HOMEWORK AND I RAN INTO A PROBLEM. NOW I KINDA UNDERSTAND IT BUT NOT AS GOOD AS I WANT TO BE. (YOU KNOW WHAT I MEAN) TOMORROW, WE ARE GOING TO HAVE A QUIZ AND I NEED TO BE ON MY A-GAME. SO HERE THE PROBLEM AND CAN YOU PLEASE EXPLAIN IT SO I CAN GET A BETTER UNDERSTANDING. THANKS! DIRECTIONS: FACTOR COMPLETELY. 8X SQUARED PLUS 8XY PLUS 8XZ PLUS 3X PLUS 3Y PLUS 3Z I KNOW YOU WON'T BE ABLE TO SHOW ME TONIGHT, BUT I WILL APPRECIATE IF YOU GIVE IT TO ME AS SOON AS POSSIBLE BECAUSE TEST IS ON FRIDAY AND GIRL GOT TO ACE IT. Click here to see answer by ankor@dixie-net.com(15746)

 Question 336901: ok so i have problems with math all the time..im negative.. and i was doing good eariler when my teacher was right next to me.. but now i forgot everything!! im factoring polynomials and this question im just so very lost.. 2a^2x^2 - 6a^2x +4ax Click here to see answer by tinbar(128)

 Question 336963: Find all points having an y-coordinate of -3 whose distance from the point (1,2) is 13. Click here to see answer by stanbon(57956)

 Question 336981: Hi, my name is Whitney and I have the answer to my math question, I just can't figure out how to get there. Here's the problem: I understand that I need to find the least common denominator so I multiply (4)/(3-x) by (x-3)/(x-3) and (2x)/(x-3) by (3-x)/(3-x), after that, I am missing something. I end up with 2(5x-6-x^2)/(3-x)(x-3) and I don't see any way to factor it further. I am clearly wrong since the answer is suppose to be 2(x-2)/(x-3). Any help and explanation of what I'm not getting would be very appreciated. Click here to see answer by mananth(12270)
 Question 336981: Hi, my name is Whitney and I have the answer to my math question, I just can't figure out how to get there. Here's the problem: I understand that I need to find the least common denominator so I multiply (4)/(3-x) by (x-3)/(x-3) and (2x)/(x-3) by (3-x)/(3-x), after that, I am missing something. I end up with 2(5x-6-x^2)/(3-x)(x-3) and I don't see any way to factor it further. I am clearly wrong since the answer is suppose to be 2(x-2)/(x-3). Any help and explanation of what I'm not getting would be very appreciated. Click here to see answer by Alan3354(31510)
 Question 336981: Hi, my name is Whitney and I have the answer to my math question, I just can't figure out how to get there. Here's the problem: I understand that I need to find the least common denominator so I multiply (4)/(3-x) by (x-3)/(x-3) and (2x)/(x-3) by (3-x)/(3-x), after that, I am missing something. I end up with 2(5x-6-x^2)/(3-x)(x-3) and I don't see any way to factor it further. I am clearly wrong since the answer is suppose to be 2(x-2)/(x-3). Any help and explanation of what I'm not getting would be very appreciated. Click here to see answer by Earlsdon(6294)

 Question 337044: Can you help me solve this? x/2 + 1 = x/4 Click here to see answer by nyc_function(2733)

 Question 337138: Choose the correct simplification of x^2 divided by x^6 A: x^4 B: 1 divided by x^4 C: x^8 D: 1 divided by x^8 Click here to see answer by CharlesG2(828)

 Question 337140: Choose the correct simplification of (2x^3 + x^2 − 4x) − (9x^3 − 3x^2). I think the answer is A but im not so sure A: 11x^3 − 2x^2 − 4x B: −7x^3 + 4x^2 − 4x C: −2x^3 − 2x^2 − 4x D: −7x^3 − 4x^2 − 4x Click here to see answer by CharlesG2(828)
 Question 337140: Choose the correct simplification of (2x^3 + x^2 − 4x) − (9x^3 − 3x^2). I think the answer is A but im not so sure A: 11x^3 − 2x^2 − 4x B: −7x^3 + 4x^2 − 4x C: −2x^3 − 2x^2 − 4x D: −7x^3 − 4x^2 − 4x Click here to see answer by Edwin McCravy(8999)

 Question 337135: Choose the correct classification of 3x^4 − 9x^3 − 3x^2 + 6. A: 5th degree polynomial B: 4th degree polynomial C: 9th degree polynomial D: 24th degree polynomial Click here to see answer by jim_thompson5910(28704)

 Question 337154: Choose the correct simplification of x^9y^14 divided by x^2y^9 i think the answer is a... A: x^11y^23 B: x^12y^12 C: x^7y^5 D: x^18y^16 Click here to see answer by jim_thompson5910(28704)

 Question 337158: Part 1: Explain, in complete sentences, what it means to write a polynomial in standard form. Part 2: Provide an example of a 4-term polynomial, not in standard form, and explain how to rewrite it in standard form... I DONT KNOW HOW TO DO POLYNOMIALS IN STANDARD FORM Click here to see answer by CharlesG2(828)
 Question 337158: Part 1: Explain, in complete sentences, what it means to write a polynomial in standard form. Part 2: Provide an example of a 4-term polynomial, not in standard form, and explain how to rewrite it in standard form... I DONT KNOW HOW TO DO POLYNOMIALS IN STANDARD FORM Click here to see answer by solver91311(17075)