# 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 631141: (x2 + 3x + 1)(x2 + x + 2) Click here to see answer by Tatiana_Stebko(1326)

 Question 631134: Using FOIL, simplify the expression "(3x + 2)(3x - 2)." Show that a particular factoring formula leads to the same answer. I know how to use FOIL, I am not sure of another way to solve this other than foil. Click here to see answer by richwmiller(9135)

 Question 631225: I need to know how to factor this Trinomial. y^3-15y^2+54y Click here to see answer by jim_thompson5910(28595)
 Question 631225: I need to know how to factor this Trinomial. y^3-15y^2+54y Click here to see answer by solver91311(16885)

 Question 631387: Factor the sum of 2 cubes completely. 125+m^3 Is this right? (m+5)(m^2-5m+25) Click here to see answer by AnlytcPhil(1276)
 Question 631387: Factor the sum of 2 cubes completely. 125+m^3 Is this right? (m+5)(m^2-5m+25) Click here to see answer by tutor_paul(490)

 Question 631450: F(x)= X^3-3x^2+12x-10 Find the complex zeros of the polynomial function. Write f in factored form. Click here to see answer by ewatrrr(10682)

 Question 631449: Simplify: 5 / (y + 2) - (5 - y) / 2 Click here to see answer by Tatiana_Stebko(1326)

 Question 631460: I need to FRACTOR completely. The following two problems: Problem 1) 78x^2y +48xy^2+8y^3 here is what I got ..Is it right: 72x^2y+48xy^2+8y^3 = 8y ( (3x+y) ^2) = 8y (3x+y)^2 answer: 8y(3x+y)^2 Problem 2) 18x^2-32y^2 here is what I did to this one.. 18x^2-32y^2 =2 (( 3x-4y) (3x+4y )) =2 (3x-4y) (3x+4y) sign of the term will not change. Are my solutions correct? Click here to see answer by jim_thompson5910(28595)

 Question 631467: completely factor the expression 4q^2+27r^4 a. 31q^2+27r^4 b. 27r^4(4q^2+1) c. 4q(q+27r) d. prime If you could please explain I would really appreciate it Click here to see answer by jim_thompson5910(28595)

 Question 631477: completely factor the expression r^2-2r+1 a. prime b. r(r-2)+1 c. (r-1)(r-1) d. (r+1)(r-1) If you could please explain I would really appreciate it Click here to see answer by jim_thompson5910(28595)

 Question 631469: find the product of (x-2y)^2 a. x^2+4y^2 b. x^2-4xy+4y^2 c. x^2+2xy+4y^2 d. x^2+4xy+4y^2 If you could please explain I would really appreciate it Click here to see answer by ewatrrr(10682)

 Question 631475: completely factor the expression 2a^3-128 a. 2(a-4)(a^2+4a+16) b. 2(a^3-64) c. prime d. 2(a-4)^3 If you could please explain I would really appreciate it Click here to see answer by jim_thompson5910(28595)

 Question 631473: solve the equation 3z^3-300z=0 a. z=0 b. z=-4 and z=1 c. prime d. z=0, z=-10 If you could please explain I would really appreciate it Click here to see answer by jim_thompson5910(28595)

 Question 631479: comp;etely factor the expression 7(x-y)-z(x-y) a. (x-y)(7-z) b. (x-y)^2(7-z)^3 c. prime d. (x-y)(7+z)^3 If you could please explain I would really appreciate it Click here to see answer by jim_thompson5910(28595)

 Question 631478: perform the indicated operations on the expression (5a^3+3a-2)-(4a^3+a^2+5) a. a^3+a^2+3 b. a^3-a^2+3a-7 c. 20a^3+3a^2-10 d. 3a^6-7 If you could please explain I would really appreciate it Click here to see answer by jim_thompson5910(28595)
 Question 631478: perform the indicated operations on the expression (5a^3+3a-2)-(4a^3+a^2+5) a. a^3+a^2+3 b. a^3-a^2+3a-7 c. 20a^3+3a^2-10 d. 3a^6-7 If you could please explain I would really appreciate it Click here to see answer by ewatrrr(10682)

 Question 631470: completely factor the expression 16x^4-81y^4 a. (2x+3y)(2x-3y)(4x^2+9y^2) b. prime c. 0 d. (4x^2-9y^2)(4x^2+9y^2) If you could please explain I would really appreciate it Click here to see answer by Tatiana_Stebko(1326)

 Question 631426: factor x four squared minus x 3 squared minus 12 x 3 squared Click here to see answer by solver91311(16885)

 Question 631481: simplify the expression 2ab^4-3a^2b^2-ab^4+a^2b^2 a. ab^4-2a^2b^2 b. 0 c. a^2b^8-a^2b^8-2a^4b^4 d. 2a^2b^8-3a^4b^4 If you could please explain I would really appreciate it Click here to see answer by ewatrrr(10682)

 Question 631466: find the product of -3a^3b(2a^0b^4-4a^2b^3) A. -6b^5+14a^5b^4 b. 12a^5b^4-6a^3b^5 c. 14a^5b^4-6b^5 d. -6b^4+12a^6b^3 if you can show me how this works I would really appreciate it Click here to see answer by Tatiana_Stebko(1326)

 Question 631556: how do i find the product of (x-6)^2 would it be 6x^2? Click here to see answer by stanbon(57342)

 Question 631560: how do i factor 8x^2-24x+18? i'm quite confused and can't seem to find a solution! Click here to see answer by richwmiller(9135)
 Question 631560: how do i factor 8x^2-24x+18? i'm quite confused and can't seem to find a solution! Click here to see answer by MathTherapy(1423)

 Question 631628: A person drives 390 miles on a stretch of road. Half the distance is driven traveling 5 miles per hour below the speed limit, and half the distance is driven traveling 5 miles per hour above the speed limit. If the time spent traveling at the slower speed exceeds the time spent traveling at the faster speed by 24 minutes, find the speed limit. Click here to see answer by mananth(12270)
 Question 631628: A person drives 390 miles on a stretch of road. Half the distance is driven traveling 5 miles per hour below the speed limit, and half the distance is driven traveling 5 miles per hour above the speed limit. If the time spent traveling at the slower speed exceeds the time spent traveling at the faster speed by 24 minutes, find the speed limit. Click here to see answer by josmiceli(9675)

 Question 631646: Have I done this problem correctly? (q+3/4)(q+3/4)= q^2+3/4q+9/16 Click here to see answer by Maths68(1474)
 Question 631646: Have I done this problem correctly? (q+3/4)(q+3/4)= q^2+3/4q+9/16 Click here to see answer by jim_thompson5910(28595)

 Question 631640: I thought I understood this, but I'm completely lost. Can you please help me to understand it? (t4 − 2t2 + 4t − 5) ÷ (t2 − 3) Click here to see answer by Edwin McCravy(8909)

 Question 631727: solve the equation x^2+4x-45=0 a. x=15 and x=30 b. x= 9 and x=-5 c. no solution d. x=-9 and x=5 I think its c but I just need to make sure I am doing this right Click here to see answer by htmentor(789)