document.write( "Question 623948: list the terms, coefficients, and degree of the following polynomial: -3x^6-7x^3+4x+3/7 \n" ); document.write( "
Algebra.Com's Answer #392464 by Theo(13342)![]() ![]() You can put this solution on YOUR website! -3x^6-7x^3+4x+3/7 \n" ); document.write( "number of terms is 4 \n" ); document.write( "each term is separated from each other term by a + sign or a - sign. \n" ); document.write( "separated out, this expression looks like this: \n" ); document.write( "(-3x^6) - (7x^3) + (4x) + (3/7) \n" ); document.write( "the highest exponent is 6 so the degree of the expression is 6. \n" ); document.write( "the coefficients of the expression are: \n" ); document.write( "-3, 7, 4 \n" ); document.write( "-3 is the coefficient of x^6 \n" ); document.write( "7 is the coefficient of x^3 \n" ); document.write( "4 is the coefficient of x \n" ); document.write( "the constant term is (3/7) \n" ); document.write( "note that the constant term can also be viewed as (3/7)*x^0 because x^0 is equivalent to 1 and (3/7)*1 is equivalent to (3/7). \n" ); document.write( "if you look at it that way, then the constant term of (3/7) could also be considered a coefficient of the x^0. \n" ); document.write( "i would just call it a constant term unless somebody you need to answer to is a stickler for details like that. \n" ); document.write( "note that if there were 2 variables in the expression, then the degree of the expression would be the term with the highest sum of exponents. \n" ); document.write( "example: \n" ); document.write( "x^6y^3 term has a degree of 6+3 = 9 \n" ); document.write( "since you're only dealing with x, that fact doesn't come into the picture. \n" ); document.write( "here's a reference on degrees of a polynomial. \n" ); document.write( "http://www.basic-mathematics.com/degree-of-a-polynomial.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |