I get facturing but it takes me forever to guess and check and then 30 minutes later to get it. Am I doing this right? I need help with this problem 8x^2-34x+35
Here are a couple decent sites:
http://www.jamesbrennan.org/algebra/polynomials/factoring_polynomials.htm
http://www.helpalgebra.com/onlinebook/factoringpolynomials.htm
Then for more sites:
http://www.google.com/search?as_q=&hl=en&num=10&btnG=Google+Search&as_epq=factoring+polynomials&as_oq=&as_eq=&lr=&as_ft=i&as_filetype=&as_qdr=all&as_nlo=&as_nhi=&as_occt=title&as_dt=i&as_sitesearch=.edu&as_rights=&safe=images
interactmath do.t c.o.m. i m in calc.2 and still use it
Factoring can sometimes be a challenging process, but there are a few strategies you can use to make it easier and more efficient. Here's how you can approach factoring the polynomial 8x^2-34x+35:
1. Look for common factors: Before using more complicated factoring techniques, check if there are any common factors among all the terms in the polynomial. In this case, there are no common factors, so we move to the next step.
2. Factor by grouping: If you have a polynomial with four terms, you can try to group them in pairs and factor out a common factor from each pair. In this case, we have three terms, so grouping is not applicable.
3. Use the quadratic formula: If the polynomial cannot be factored easily, you can resort to using the quadratic formula. The quadratic formula states that for a quadratic equation of the form ax^2+bx+c=0, the roots (or solutions) can be found using the formula: x=(-b±√(b^2-4ac))/(2a). However, if you are trying to factor the polynomial instead of solving for x, this method may not be helpful.
4. Factoring by trial and error: If the polynomial does not easily lend itself to other factoring techniques, you can resort to trial and error. This involves finding two factors of the leading coefficient (in this case, 8) and two factors of the constant term (in this case, 35) that add up or subtract to match the middle coefficient (in this case, -34). It may require some guessing and checking to find the correct pairs of factors.
In this particular case, the polynomial 8x^2-34x+35 can be factored as (4x-5)(2x-7). To check if this is correct, you can expand the factored form by using the distributive property: (4x-5)(2x-7) = 8x^2 - 28x - 10x + 35 = 8x^2 - 38x + 35, which matches the original polynomial.
To further improve your factoring skills, you can refer to the websites you provided as they offer step-by-step explanations with examples. Additionally, practicing more problems and seeking additional resources can help you become more comfortable and efficient in factoring polynomials.