In one sentence, describe what the following article is about: This method works for expressions that have second-degree polynomials in the numerator and denominator. A second-degree polynomial is a polynomial with one term raised to the power of 2. For example, the expression x24x22x8{\displaystyle {
rac {x^{2}-4}{x^{2}-2x-8}}} has a second degree polynomial in the numerator and the denominator, so you can use this method to simplify it. You are looking for two binomials that, when multiplied together using the FOIL method, result in the original polynomial. For more information on how to factor a second-degree polynomial, read Factor Second Degree Polynomials (Quadratic-Equations). Rewrite your expression with the factored numerator. For example, x24{\displaystyle x^{2}-4} can be factored as (x2)(x+2){\displaystyle (x-2)(x+2)}. So, your expression now looks like this: (x2)(x+2)x22x8{\displaystyle {
rac {(x-2)(x+2)}{x^{2}-2x-8}}}. Again, you are looking for two binomials you can multiply together to get the original polynomial. Rewrite your expression with the factored denominator. For example, x22x8{\displaystyle x^{2}-2x-8} can be factored as (x+2)(x4){\displaystyle (x+2)(x-4)}. So, your expression now looks like this: (x2)(x+2)(x+2)(x4){\displaystyle {
rac {(x-2)(x+2)}{(x+2)(x-4)}}}. A binomial factor is an expression in parentheses. You can factor these out, because dividing a factor by itself equals 1. For example:(x2)(x+2)(x+2)(x4){\displaystyle {
rac {(x-2)(x+2)}{(x+2)(x-4)}}}(x2)(x+2)(x+2)(x4){\displaystyle {
rac {(x-2){\cancel {(x+2)}}}{{\cancel {(x+2)}}(x-4)}}} Remember that if you canceled out all the factors, you are left with 1. This will give you your final, simplified expression. For example:(x2)(x+2)(x+2)(x4){\displaystyle {
rac {(x-2){\cancel {(x+2)}}}{{\cancel {(x+2)}}(x-4)}}}x2x4{\displaystyle {
rac {x-2}{x-4}}}
Summary: Evaluate your expression. Factor the numerator's polynomial into two binomials. Factor the denominator's polynomial into two binomials. Cancel out binomial factors common to the numerator and denominator. Rewrite your expression with the remaining factors.

In one sentence, describe what the following article is about: This will freshen the air in your dining room for as long as the herbs stay fresh. Try combining any of the following fresh herbs in a vase: Sage Rosemary Oregano Parsley Bay leaves Chives Scented geranium Thyme Set up a windowsill herb garden and grow basil, thyme, lavender, sage, mint and other fragrant plants. House plants are great for freshening the air and also help clean the air of formaldehyde and other volatile compounds. You will also have access to fresh herbs while you are cooking. Mix half freshly ground herbs with half baking soda. After changing your sheets, sprinkle the mixture over your mattress. You could mix mint, lavender, lemon balm and rosemary in a blender To give your living room a pleasant scent, put herbs in the fireplace. The best herbs to use are sage, rosemary, cinnamon and pine. Bundle your herbs into newspaper and tie the ends with twine or string. Arrange the bundle with your logs before you start your fire. Look for products that are non-toxic. You should be able to find herbal air fresheners in health food stores. Inspect the label and talk to a sales associate to be sure you are buying something natural and herbal. Try burning a soy candle that contains herbal oils. Look for herbal cleaning products such as dryer sheets and sprays.
Summary: Put sprigs of fresh herbs in a vase. Grow herbs in your kitchen. Mix some sleeping dust for your bedroom. Put herbs in your fireplace. Buy herbal products that can freshen the air naturally.

In one sentence, describe what the following article is about: When you blame others or societal institutions for your problems, you take away your power, making it harder to accomplish your goals. Instead, take responsibility for your actions. Focus on how you can respond to a given situation and the factors that you can control. While unfairness and difficult people can make life more challenging, they shouldn't leave you powerless. Move on from perceived injustices, and think about how you can overcome or address them. Know that comparing yourself to others and thinking negatively about yourself is detrimental and a waste of time and energy. When you start to feel yourself getting down, take time to think of the positives about yourself. You may want to write them down and pull them back out whenever your thoughts turn crappy. Focusing on the positive instead of the negative can help you realize you have something to live for. For instance, negative talk is that which makes you feel bad or does not serve to improve your situations, like "I'm such a loser." On the other hand, positive self-talk lifts your mood and motivates you, such as "I'm not where I want to be, but I have come a long way. I can do this." Try to put a positive spin on things when you find yourself thinking negatively. Approach the world with an attitude of love. Start by practicing self love. Identify your best features and learn to love them. Then, do the same for others. Love attracts love. If you send love out into the world, you'll likely get love back. Engage in something that you enjoy on a daily basis. Something as simple as cooking a meal or playing with your dog can provide you with small moments of satisfaction. Taking time out to do something just for you that gives you pleasure can make a huge difference in your mood and mindset about your life. Schedule a standing date with a friend or family member to go out together. Getting out of the house and socializing with others is a great way to make yourself feel better. When you make plans with others, they can hold you accountable, as well, so it will be more difficult to cancel. If you don't have anyone to hang out with, go to a coffee shop or similar place by yourself. Challenge yourself to make eye contact and start a conversation with a stranger. You never know, you may make friends. Commit to a healthy way of life. The better you treat your body, the better it will feel. This, in turn, can make you feel better about yourself. Eating nutrient-rich food and exercising can enhance your appearance, and ultimately, improve your self-image. Additionally, getting enough sleep can help you feel better, both physically and mentally. Your body is your temple: treat it as such. Make a list of everything in your life that you are thankful for when life starts to get you down. When you focus on what you have to be grateful for, tasks that seem overwhelming can take on a new light. When you take on an attitude of gratitude, you may be surprised with how your life can change for the better. Practice something every day that helps you get in touch with your spirituality. Spending time daily doing this can make you feel stronger in your faith, and uplift your soul. Spiritual practice can include anything you find inspiring, including meditating, praying, spending time on devotions, taking a nature walk or attending a meeting with others who share your beliefs.
Summary:
Stop playing the role of victim. Kick negative self-talk to the curb. Love yourself and others. Do activities that you love regularly. Make use of social support. Nurture your body. Be grateful. Turn to your spirituality.