document.write( "Question 886653: Let f(x)be a polynomial function of degree 2 and g(x) be a polynomial of degree 3. what is the degree of (f*g)(x)? \n" ); document.write( "

Algebra.Com's Answer #536123 by josgarithmetic(39621) $\"\"$ $\"About$

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Arrange a general example and find what happens.\r
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\n" ); document.write( "\n" ); document.write( "Try $\"f%28x%29=ax%5E2%2Bbx%2Bc\"$ and $\"g%28x%29=dx%5E3%2Bex%5E2%2Bhx%2Bm\"$ , assuming a,b,c,d,e,h,m are any nonzero real numbers. \r
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\n" ); document.write( "\n" ); document.write( "The highest term which will occur when you find f(x)*g(x) will be $\"adx%5E5\"$ . All of the other terms will be of degree less than 5. Try doing the multiplications and simplify.\r
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\n" ); document.write( "\n" ); document.write( "Degree 5. \n" ); document.write( "

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