# 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 114303: find the horizontal and verticle asymptotes for the function g(x)=2x^2/3x^2-1 Click here to see answer by stanbon(57377)

 Question 114249: Rewrite the middle term as the sum of two terms and then factor completely. 12w squared + 19w + 4 Click here to see answer by jim_thompson5910(28595)

 Question 114359: Find the GCF of the set of terms. 12a cubed b squared, 18a squared b cubed, 6a to the 4th power b to the 4th power Click here to see answer by stanbon(57377)

 Question 114375: Use the ac test to determine which of the following trinomials can be factored. Find the values of m and n for the trinomial that can be factored. 4z cubed - 18z squared - 10z Click here to see answer by stanbon(57377)

 Question 114381: Factor completely. 9x squared + 12xy + 4y squared - 25 Click here to see answer by jim_thompson5910(28595)

 Question 114367: Factor each polynomial by grouping the first 2 terms and the last 2 terms. x cubed - 4x squared + 2x - 8 Click here to see answer by jim_thompson5910(28595)

 Question 114363: Factor completely. 14x squared - 20x + 6 Click here to see answer by scott8148(6628)
 Question 114363: Factor completely. 14x squared - 20x + 6 Click here to see answer by jim_thompson5910(28595)

 Question 114407: Find the zeros of each function, state the multiplicity of multiple zeros. 35. y = (2x+3)(x-1)^2 Click here to see answer by solver91311(16897)

 Question 114243: Factor the polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms. 3a to the 3rd power + 3ab squared + 2a squared b + 2b to the 3rd power Click here to see answer by scott8148(6628)

 Question 114403: Show that the eqs has no rational root. 2x^5+3x^3+7=0 I know that I am supposed to use synthetic division. I know the constant is 7 thus 1,7 I know the numbers I should divide into are as follows: 2 0 3 0 7 I tried to use both 1, and 7 but It doesn't appear to work. Can anyone help. Thanks. Click here to see answer by solver91311(16897)

 Question 114366: Factor the expression. a squared(b-c) - 16b squared(b-c) Click here to see answer by solver91311(16897)

 Question 114379: Factor each polynomial completely. To begin, state which method should be applied as the first step. Continue the exercise and factor each polynomial completely. 2p - 6q + pq - 3q squared m to the 4th power - 9n to the 4th power Click here to see answer by jim_thompson5910(28595)

 Question 114497: express each polynomial as the product of its greatest monommial factor and another polynomial 5x+25y help me please! im so confused! Click here to see answer by MathLover1(6634)

 Question 114482: Good evening ma'am or sir I don't know how to get the values of x here in this equation (clue: there are 3 answers, 1 fraction and 2 whole numbers), will you please help me. This is the equation: x^2+2x+1/x^2+3x+2=x^2+5x+6/x^2+4x+3. Thank you very much ma'am or sir. Click here to see answer by MathLover1(6634)

 Question 114532: Solve for the missing term: A=a+b+c/3 ; for a Click here to see answer by MathLover1(6634)

 Question 114518: Factor the binomial. 25x squared - 81y squared Click here to see answer by checkley71(8403)

 Question 114573: having problem with factoring completely, the problems are 3x^3-12x and 128x^2-224x+98 Click here to see answer by jim_thompson5910(28595)
 Question 114573: having problem with factoring completely, the problems are 3x^3-12x and 128x^2-224x+98 Click here to see answer by checkley71(8403)

 Question 114553: find the interval(s) for the equation f(x)=1/x^2-2x-8, where f(x)>0 Click here to see answer by Fombitz(13828)

 Question 114517: Factor the polynomial completely. -3s squared - 10s + 8 Click here to see answer by checkley71(8403)

 Question 114516: Find all positive values for k for which the following can be factored. x squared + x - k Click here to see answer by checkley71(8403)

 Question 114634: The figure shows the graph of f(x)=6x-10/2x-a, find the value of a. Click here to see answer by edjones(7569)

 Question 114531: If fifteen less than two times a number is divided by six more than the number, the result is four less than 9 times the reciprocal of that number. Find the number Click here to see answer by ankor@dixie-net.com(15657)

 Question 114614: How do I factor 8r cubed - 64s cubed Click here to see answer by checkley71(8403)

 Question 114625: Find the GCF. (6y squared - 3y)(y + 7) Click here to see answer by edjones(7569)

 Question 114757: Use the ac test to determine which of the following trinomials can be factored. Find the values of m and n for each trinomial that can be factored. x squared + 2x - 15 Click here to see answer by jim_thompson5910(28595)

 Question 114758: Use the ac test to determine which of the following trinomials can be factored. Find the values of m and n for each trinomial that can be factored. x squared - x + 2 Click here to see answer by jim_thompson5910(28595)

 Question 114774: Use the ac test to determine which of the following trinomials can be factored. Find the values of m and n for each trinomial that can be factored. x squared - 3x + 7 Click here to see answer by stanbon(57377)

 Question 114755: reduce the following rational expression to lowest terms, if possible. Also specify any restrictions on the variable -3 ____ 3x-9 Click here to see answer by stanbon(57377)

 Question 114742: Could you please explain in detail how you divide a Polynomial by a Binomial. Example problem:x(squared)-2x-8 divided by (x+2). Thank you Click here to see answer by jim_thompson5910(28595)

 Question 114854: I need help with this problem. I have included the theorem on conjugate pair of zeros of a poly. This is the theorem on Conjugate pair of Zeros of a Poly: If a poly f(x) of degree n>1 has real coef and if z=a+bi with b (not equal) to 0is a complex zero of F(x), then the conjugate z=a-bi is also a zero of f(x). The question is: The Poly f(x)= x^3-ix^2+2ix+2 has the complex number i as a zero; however, the conjugate -i of I is not a zero. Why doesn't this result contradict the theorem on conjugate pair of Zeroes of a poly? Click here to see answer by stanbon(57377)

 Question 114879: Show that the product of 6x^2-13x-5, 15x^2-16x-7, and 10x^2-39x+35 is a perfect square by showing that it is the square of another polynomial. Click here to see answer by stanbon(57377)

 Question 113828: sketch the graph of the polynomial function. f(x)=(x+1)^3+4 Click here to see answer by jim_thompson5910(28595)

 Question 114220: Factor completely. 14x squared - 20x + 6 Click here to see answer by jim_thompson5910(28595)

 Question 114364: Factor completely. -3s squared - 10s + 8 Click here to see answer by jim_thompson5910(28595)