document.write( "Question 458886: Classify the polynomial as either constant, liner, quadratic, cubic, or quartic and determine the leading term, the leading coefficient, and the degree of the polynomial.\r
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document.write( "g(x)=-5x^4-6 \n" );
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Algebra.Com's Answer #314764 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "If a function f(x), g(x), h(x), etc., has no x's on the\r\n" ); document.write( "right side, it is a CONSTANT FUNCTION.\r\n" ); document.write( "\r\n" ); document.write( "Examples: f(x) = 5, g(x) = -3, h(x) = 0 are all CONSTANT functions:\r\n" ); document.write( "\r\n" ); document.write( "-------------\r\n" ); document.write( "\r\n" ); document.write( "If a function f(x), g(x), h(x), etc., has 1 understood \r\n" ); document.write( "as its largest power of x on the right side, it is a \r\n" ); document.write( "LINEAR FUNCTION.\r\n" ); document.write( "\r\n" ); document.write( "Examples: f(x) = x, g(x) = -4x+7, h(x) = 7-5x are all LINEAR functions:\r\n" ); document.write( "\r\n" ); document.write( "-------------\r\n" ); document.write( "\r\n" ); document.write( "If a function f(x), g(x), h(x), etc., has 2 as its largest \r\n" ); document.write( "power of x on the right side, it is a QUADRATIC FUNCTION.\r\n" ); document.write( "\r\n" ); document.write( "Examples: f(x) = 4x² - 3x + 7, g(x) = -x², h(x) = 9-6x² are \r\n" ); document.write( "all QUADRATIC functions:\r\n" ); document.write( "\r\n" ); document.write( "-------------\r\n" ); document.write( "\r\n" ); document.write( "If a function f(x), g(x), h(x), etc., has 3 as its largest \r\n" ); document.write( "power of x on the right side, it is a CUBIC FUNCTION.\r\n" ); document.write( "\r\n" ); document.write( "Examples: f(x) = -3x³ - 8x² + 7x + 6, \r\n" ); document.write( "g(x) = x³, h(x) = 9x² - 7x³ are all CUBIC functions:\r\n" ); document.write( "\r\n" ); document.write( "-------------\r\n" ); document.write( "\r\n" ); document.write( "If a function f(x), g(x), h(x), etc., has 4 as its largest \r\n" ); document.write( "power of x on the right side, it is a QUARTIC FUNCTION.\r\n" ); document.write( "\r\n" ); document.write( "Examples: f(x) = -7x4 - 9x³ + 7x² + 6x - 4, \r\n" ); document.write( "g(x) = -x4, h(x) = 6x² - 7x4 are all \r\n" ); document.write( "QUARTIC functions:\r\n" ); document.write( "\r\n" ); document.write( "-------------\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So your function g(x) = -5x4 - 6\r\n" ); document.write( "\r\n" ); document.write( "is a QUARTIC function.\r\n" ); document.write( "\r\n" ); document.write( "The degree is 4, the largest exponent of x.\r\n" ); document.write( "\r\n" ); document.write( "The leading coefficient is the coefficient of the term\r\n" ); document.write( "with the largest power of x, which in this case is -5\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |