document.write( "Question 248456: I just learned this today and not sure how to do this. Please help. I have a quiz tomorrow on it. It is factoring. Thank you!!\r
\n" ); document.write( "\n" ); document.write( "56-15z+z^2 \n" ); document.write( "
Algebra.Com's Answer #181068 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
First, let's put this expression in order:
\n" ); document.write( "\"z%5E2%2B+%28-15z%29+%2B+56\"
\n" ); document.write( "This is a quadratic trinomial. Quadratic because of the squared term and trinmoial because the expression has three terms. It has a leading coefficient (i.e. the coefficient of the squared term) which is 1 and that makes this one of the easy quadratic trinomials to factor. Factoring expressions like this one comes down to answering the question: \"What are the factors of the constant term (the one at the end without a variable) that add up the the coefficient of the middle term?

\n" ); document.write( "In this expression the question is: \"What are the factors of 56 that add up to -15?\" To answer this question we need to realize that in order for the product to be positive, the two factors must both be positive or both be negative. Since we want them to add up to -15, we will look for two negative factors of 56. With some thought about the factors of 56 it shouldn't take us long to figure out that -7 and -8 are the two factors we are looking for. So:
\n" ); document.write( "\"z%5E2%2B+%28-15z%29+%2B+56+=+%28z-7%29%28z-8%29\"
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