I'm so stuck-this stuff is so far above me right now-Please help where do I even start? Any hint would be so helpful-
(3x^3-5^2+6x-9)/(x+5)
or can someone direct me to a site that can solve this and show the steps-I don't even know where to start
Thank you
3x^3 + 6x -34 / x + 5
I have a feeling that your second term in the numerator is supposed to be -5x^2
If so, I performed a synthetic division to get
(3x^3-5x^2+6x-9)/(x+5) = 3x^2 - 20x + 106 - 539/(x+5)
Long Algebraic Division will yield the same result
I understand that you're struggling with a math problem. I can help you work through it step by step.
The expression you provided is a rational function, which is a fraction consisting of polynomials. In this case, you have a polynomial in the numerator and a binomial (x+5) in the denominator.
To begin, we can use long division to simplify the expression. Here's how you can do it:
Step 1: Write the polynomial in standard form with all the terms in descending order of their powers. In this case, the polynomial is 3x^3 + 6x - 25x - 9.
Step 2: Divide the first term of the numerator (3x^3) by the first term of the denominator (x). The result is 3x^2. Write this quotient above the division bar.
Step 3: Multiply the entire denominator (x+5) by the quotient (3x^2), and write the result (3x^2 * (x+5)) below the numerator.
Step 4: Subtract the result you obtained in Step 3 from the numerator. The subtraction should be done term by term. The result becomes your new numerator.
Step 5: Bring down the next term from the numerator, which is 6x. This becomes the new leading term of the numerator.
Step 6: Repeat Steps 2-5 until you have subtracted all terms in the numerator.
Step 7 (final step): The quotient obtained from the division is 3x^2 - 25. The remainder is 6x - 34/(x + 5).
To check your work, you can multiply the quotient (3x^2 - 25) by the denominator (x + 5). The result should be the numerator. If there's a remainder, it should match the remainder you obtained in Step 7.
As for online resources that can help you solve this type of problem and show the steps, I recommend websites such as Symbolab, Wolfram Alpha, and Mathway. These platforms provide step-by-step solutions to various math problems, including rational functions.
I hope this helps you get started with solving your math problem! Let me know if you have any further questions.