document.write( "Question 1172699: How would you factor a polynomial? My equation is
\n" ); document.write( "3x^2+4x+1
\n" ); document.write( "Thank you! \n" ); document.write( "
Algebra.Com's Answer #797806 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
there are several ways to factor a quadratic equation.
\n" ); document.write( "if all else fails, use the quadratic formula.
\n" ); document.write( "that formula is:
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document.write( "              -b plus or minus sqrt(b^2 - 4ac)\r\n" );
document.write( "       x =   -----------------------------------\r\n" );
document.write( "                          2a\r\n" );
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\n" ); document.write( "\n" ); document.write( "the quadratic equation has to be placed in the form of:
\n" ); document.write( "ax^2 + bx + c = 0
\n" ); document.write( "a is the coefficient of the x^2 term
\n" ); document.write( "b is the coefficient of the x term
\n" ); document.write( "c is the constant.
\n" ); document.write( "set your equation equal to 0 and it's already in this form.
\n" ); document.write( "you get:
\n" ); document.write( "a = 3
\n" ); document.write( "b = 4
\n" ); document.write( "c = 1
\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = (-4 plus sqrt(4^2 - 4*3*1)) / 6, or:
\n" ); document.write( "x = (-4 minus sqrt(4^2 - 4*3*1)) / 6
\n" ); document.write( "since sqrt(4^2 - 4*3*1) is equal to sqrt(4) which is equal to 2, you get:
\n" ); document.write( "x = (-4 + 2) / 6, or:
\n" ); document.write( "x = (-4 - 2) / 6
\n" ); document.write( "this gets you:
\n" ); document.write( "x = -1/3 or x = -1
\n" ); document.write( "the following graph of the equation shows that this is true.
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\n" ); document.write( "\n" ); document.write( "for quadratic equations, the quadratic formula is the formula that will find the roots, regardless if they are real or not.\r
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\n" ); document.write( "\n" ); document.write( "there are other ways to factor the quadratic equation as well, but the one method that works every time is the quadratic formula.\r
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\n" ); document.write( "\n" ); document.write( "the quadratic formula only works on quadratic equations.
\n" ); document.write( "if you have a polynomial of a higher degree, you need to use other methods.\r
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\n" ); document.write( "\n" ); document.write( "there are references on the web that can help you with the various ways to factor a quadratic equations.\r
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\n" ); document.write( "\n" ); document.write( "here's a selection of some of them.
\n" ); document.write( "i did a search on how to solve a quadratic equaton using google.
\n" ); document.write( "https://www.google.com/search?q=how+to+solve+a+quadratic+equation&rlz=1C1CHBF_en&oq=how+to+solve+a+quadratic+equation&aqs=chrome..69i57j0l7.3990j0j15&sourceid=chrome&ie=UTF-8\r
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