document.write( "Question 1183273: Pls help with this. Thanks. Factoring is an algebraic process, which is an essential one in the field of mathematics. Consider the following equation: y= x^2 + 2x - 8. This equation in factored form can be written as: y=(x-2)(x+4). Explain using words and algebra, how the zeros, the axis of symmetry, and the vertex can be obtained. \n" ); document.write( "

Algebra.Com's Answer #813505 by Solver92311(821) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "The two zeros can be found by setting each of the factors to zero and then solving for

. Example: If one of the factors was

, then the associated zero would be found by setting

with the resulting zero being

.\r
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\n" ); document.write( "\n" ); document.write( "Once you have found the two zeros of a quadratic, the

-coordinate of the vertex is exactly halfway between the two. For example, if the two zeros were

and

, then the

-coordinate of the vertex would be

.\r
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\n" ); document.write( "\n" ); document.write( "The

-coordinate of the vertex is simply the value of the function at the

-coordinate you calculated as described above. Just substitute that

value into the original equation (either the factored form or the unfactored form, you get the same answer either way given correct arithmetic) and do the indicated arithmetic.\r
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\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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\r
\n" ); document.write( "\n" ); document.write( "From
\n" ); document.write( "I > Ø
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