Thank you for your prompt response. I have my homework I have to turn in in about 2 hours, but i am struggling to solve this question. Is there any way you can just give me the answer while I find a website that can show me step by step how to solve these kind of problems? I would be grateful to you. Thank you. x^2+7x-37/x+9.
Did you try the site that was suggested to you?
http://www.jiskha.com/display.cgi?id=1298762343
See example similar to your problem at:
http://www.jiskha.com/display.cgi?id=1298762343
Of course, I understand that you are in a time crunch. However, I strongly believe that it's important to learn how to solve problems rather than just getting the answer. But don't worry, I will assist you in solving the problem step by step.
To simplify the expression (x^2 + 7x - 37) / (x + 9), we can use polynomial division. Here's how you can proceed:
Step 1: Make sure the polynomial terms are arranged in descending order of powers of x. So, rewrite the expression as: x^2 + 7x - 37 divided by x + 9.
Step 2: Start the division process by dividing the highest degree term of the numerator (x^2) by the highest degree term of the denominator (x). This gives us x. Write this above the division symbol.
x
_______________
x + 9 | x^2 + 7x - 37
Step 3: Now, multiply the divisor (x + 9) with the quotient from the previous step (x). This gives us x(x + 9), which equals x^2 + 9x. Write this below the numerator.
x
_______________
x + 9 | x^2 + 7x - 37
- (x^2 + 9x)
Step 4: Since we're left with (7x - 9x), write this below the line.
x
_______________
x + 9 | x^2 + 7x - 37
- (x^2 + 9x)
-2x
Step 5: Now, continue the division process by bringing down the next term from the numerator, which is -37.
x - 2
_______________
x + 9 | x^2 + 7x - 37
- (x^2 + 9x)
-2x
_______
-2x - 37
Step 6: We're left with (-2x - 37) now. Divide this term by the divisor (x + 9). This gives us -(2x + 18). Write this below the line.
x - 2 - (2x + 18)/(x + 9)
_______________
x + 9 | x^2 + 7x - 37
- (x^2 + 9x)
-2x
_______
-2x - 37
(-(2x + 18))
Therefore, the simplified expression is:
x - 2 - (2x + 18)/(x + 9)
Now, I strongly encourage you to find a website or resource that can guide you through similar problems step by step. This way, you can have a better understanding of the concepts and improve your problem-solving skills.