www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.39499.html

SOLUTION: reduce to lowest terms: 2x^2 - 3x - 2 ----------- -- 10 + x - 3x^2. Algebra
-> Polynomials-and-rational-expressions -> SOLUTION: reduce to lowest ...

www.tiger-algebra.com/drill/x~2-3x/2x~2-5x-3/

Learn with Tiger how to do {x^2-3x/2x^2-5x-3}fractions in a clear and easy way ...
Combine the numerators together, put the sum or difference over the common
denominator then reduce to lowest terms if ... -x<sup>2</sup> • (3x-2) - (5x • 2) -3x<sup>3</sup> + 2x<sup>2</sup> -
10x ...

www.wellesley.edu/sites/default/files/assets/departments/mathematics/factoring_and_solving_equations.pdf

Look for monomial (single-term) factors first; 3 is a factor of both 3x2 and 6x and
so is x . Factor them out to get. 3x2 + 6x = 3(x2 + 2x1 = 3x(x+ 2) . 2. Factor x2 + x -
6 if possible. Here we ... Trial and error gives the factorization 4x2 - 3x - 10 - (4x+
5)(x- 2) . 4. .... x3 - 2x2 - 5x + 6 = (x-1)(x2 - x - 6) = (x-I)(x-3)(~+2) = 0 ...

www.mathsisfun.com/algebra/rational-expression.html

Likewise a Rational Expression is in Lowest Terms when the top and bottom
have no common factors. ... as x<sup>3</sup>+3x<sup>2</sup> and 2x have the common factor "x". But. x<sup>2</sup>
+3x2 is in lowest terms, as x<sup>2</sup>+3x and ... Reduce the rational expression to
Lowest Terms,; Then find the roots of the top polynomial ... The graph of (x-3x)/(2x
-2) has:.

www.personal.kent.edu/~bosikiew/Algebra-handouts/multdiv-ration.pdf

x + 1. 3x − 2. , x2 − 3x + 4 x6 − 3 are all rational expressions. • Lowest terms: A
rational expression is in lowest terms when the numerator and denominator
contain no ... x − 2. 6. x2 − 7x − 30 x2 − 6x − 40. ·. 2x2 + 5x + 2. 2x2 + 7x + 3 x2 −
7x − 30 ... −x(x + 1). 6. 10. 3x2y2 − 12x2 y2 + 10y + 16. ÷ xy2 − 12xy + 35x y2 + 3y
− 40.

www.mathcentre.ac.uk/resources/uploaded/mc-ty-partialfractions-2009-1.pdf

partial fractions. Specifically. 3x + 5. 2x2. − 5x − 3. = 2 x − 3. −. 1. 2x + 1 ... explain
the meaning of the terms 'proper fraction' and 'improper fraction' ... In order to add
these two fractions together, we need to find the lowest common ..... 10. 7(x − 2).
Exercises 4. Express the following as a sum of partial frac...

sites.csn.edu/istewart/Accuplacer/accu_alg/pdf/poly_sol.pdf

However, 2x2 + x cannot be further simplified because the powers of the ...
Multiply 3x(7 + 3x2) and write the terms in descending order of their exponents.

www.khanacademy.org/math/algebra-home/alg-rational-expr-eq-func/alg-partial-fraction/v/partial-fraction-expansion-2

Sal performs partial fraction expansion upon (10x²+12x+20)/(x³-8). ... But here,
you can do from [UNINTELLIGIBLE] the highest degree term here is a second-
degree ... How many times does x minus 2 go into 2x squared minus 8? .... of this,
we're now done, is 7 over x minus 2 plus 3x plus 4, over x squared plus 2x plus 4.

www.spcollege.edu/se/academics/math_docs/courses/mac/mac_1105/plato_asa_text/ca14_2.pdf

For example, to evaluate the polynomial f(x) = x2 + 3x – 7 at x = 2: 1. Substitute 2
for x. .... 3x3 – 7x + 10 = (x + 3)(3x2 – 9x + 20) – 50. 50 x. 3. 3x3 – 7x. 10 x. 3. 3x3
– 7x. 10 x. 3. 60 x – 5 .... So, two factors of P(x) are x – 5 and 2x3 – 2x2 – 10x + 17
. ..... Suppose that (reduced to lowest terms) is a rational zero of P(x). So...

www.mhhe.com/math/precalc/barnettcat7/graphics/barnett07cat/ch01/others/bar68691_ch01-04.pdf

2 x ka kb a b. • Reducing to. Lowest Terms x. 2. 2x2. 3x. 5. 1 x4. 1. 3 x x2. 3x. 5. 1
... 2x3(x2. 2)2[3x2. 2(x2. 2)] x8 x4. 8x. 3x3. 2x2. 8x. 6x2 x. 2. 2x2 x. 1 x2 x. 1 x. 1 ...
10x3y. 3xy. 9y x2. 9. 4x2. 12x. 10x3y. 3y(x. 3). (x. 3)(x. 3). 4x(x. 3). 2. 3 x x. 1. 2. 3.