document.write( "Question 604393: I am not very good at math and need a lot of help and detail! I think to hard on every question and I feel that i can not get anything right. I am in advanced math in 8th grade and I am just trying to get through this last quarter without failing so that i can to alegbra 1 again next year. I really need help on binomials which i have problem i cant get which is...( and i cant the square numbers which are the little numbers next to the x's so all the x's have a square little number which are the x4, x3,and x2)
\n" ); document.write( "
\n" ); document.write( "x4 (y+1)+2(y+1)x3 +x2 (y+1)
\n" ); document.write( "
\n" ); document.write( "can u get that problem for me. Also can you tell me the difference in binomilas and trinomials?
\n" ); document.write( "Thanks sooo much this means a lot \n" ); document.write( "

Algebra.Com's Answer #381222 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2x%5E3\"$ is a monomial, a group of one or more numbers and/or symbols multiplied together, with no plus or minus signs. Monomials can be as simple as $\"x\"$ or $\"2\"$ , or not so simple as $\"24x%5E5y%5E2z%5E3\"$ .
\n" ); document.write( "
\n" ); document.write( " $\"y%2B1\"$ and $\"4x%5E2-9y%5E4\"$ are both binomials because each has 2 groups of symbols and/or numbers (2 monomials) separated by plus and/or minus signs. The \"bi\" part means 2, as in bicycle.
\n" ); document.write( "
\n" ); document.write( " $\"x%5E2-5x%2B6\"$ is a trinomial because there are 3 groups of symbols and numbers separated by plus and/or minus signs. The \"tri\" part means 3, as in tricycle.
\n" ); document.write( "The binomials $\"x-3\"$ and $\"x-2\"$ can be multiplied together and the result is the trinomial $\"x%5E2-5x%2B6\"$ :
\n" ); document.write( " $\"%28x-2%29%28x-3%29=x%5E2-3x-2x%2B6=x%5E2-5x%2B6\"$
\n" ); document.write( "
\n" ); document.write( "To start, the expression
\n" ); document.write( " $\"x%5E4%28y%2B1%29%2B2%28y%2B1%29x%5E3%2Bx%5E2%28y%2B1%29\"$ can be simplified by
\n" ); document.write( "\"taking out\" the common factor $\"%28y%2B1%29\"$ .
\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "The trinomial $\"x%5E4%2B2x%5E3%2Bx%5E2\"$ in that expression can be factored further.
\n" ); document.write( "To begin, we can \"take out\" the common factor $\"x%5E2\"$
\n" ); document.write( " $\"x%5E4%2B2x%5E3%2Bx%5E2=x%5E2%28x%5E2%2B2x%2B1%29\"$
\n" ); document.write( "
\n" ); document.write( "Then, the trinomial $\"x%5E2%2B2x%2B1\"$ can be factored further. It happens to be the square of the binomial $\"x%2B1\"$
\n" ); document.write( " $\"%28x%2B1%29%5E2=x%5E2%2B2x%2B1\"$
\n" ); document.write( "
\n" ); document.write( "So in 3 steps, we can factor $\"x%5E4%28y%2B1%29%2B2%28y%2B1%29x%5E3%2Bx%5E2%28y%2B1%29\"$ completely:
\n" ); document.write( "

\n" ); document.write( "

\n" );