document.write( "Question 134846: Hi,
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document.write( " Can you help me with this math problem? \r
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document.write( "State the degree of the polynomial equation.
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document.write( "4(x + 8)^2(x - 8)^3 = 0 \n" );
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Algebra.Com's Answer #98685 by vleith(2983)![]() ![]() ![]() You can put this solution on YOUR website! Given: \n" ); document.write( "\n" ); document.write( "Since this is an equation in only one variable, the degree is the terms with the highest order exponent in it.\r \n" ); document.write( "\n" ); document.write( "You could expand the equation (multiply it out). But you can also 'just look' and figure it out without doing all the multiplication.\r \n" ); document.write( "\n" ); document.write( "Look at the term \n" ); document.write( " \n" ); document.write( "When you expand that, what will be the highest exponent of x? Right, it will be x^2\r \n" ); document.write( "\n" ); document.write( "Now look at the last term \n" ); document.write( " \n" ); document.write( "When you expand that, what will be the highest exponent of x? Right again, x^3\r \n" ); document.write( "\n" ); document.write( "Since the terms are multplied together, you have an x^2 term times a x^3 term. \n" ); document.write( "So what is the exponent that is the result of that? Right yet again, x^5\r \n" ); document.write( "\n" ); document.write( "So the degree will be 5 \n" ); document.write( " \n" ); document.write( " |