. Simplify the following rational expressions.
2 - 3
X -1 x+1
2x² + 7x +3
2x² - 7x - 4
2x + 5 + x + 1
x² + 6x + 9 x² - 9 x - 3
For most problems like this, you just have to combine like terms.
Note that the roots of , where a, b, and c are integers, must be factors of c divided by factors of a.
To factor, you have to use this knowledge to your advantage and try different factors. Recognize that must factor to , and we have that . So and . You should be able to see relatively quickly that p = 1 and q = 3, which gives you a factorization of . Can you do the other factorization problem?