document.write( "Question 1147243: -3x^4-7x+17=0 how many complex roots does this polynomial equation have? \n" ); document.write( "

Algebra.Com's Answer #768557 by rothauserc(4718) $\"\"$ $\"About$

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-3x^4 -7x +17 = 0
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\n" ); document.write( "The Fundamental Theorem of Algebra says that this equation will have 4 roots(this is the degree of the polynomial)
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\n" ); document.write( "The Rational Roots Theorem says that if this equation has rational roots, then
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\n" ); document.write( "q could be +or - 1, + or - 3
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\n" ); document.write( "p could be + or - 1, + or - 17
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\n" ); document.write( "x = + or - 1, + or - 17, + or - 1/3, + or - 17/3
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\n" ); document.write( "none of these possible roots satisfy the equation, therefore
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\n" ); document.write( "we consider the graph of the equation
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\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-3%2C+3%2C+-100%2C+25%2C+-3x%5E4+-7x+%2B17%29+\"$
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\n" ); document.write( "Therefore, this equation has 2 complex roots and 2 rational roots
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\n" ); document.write( "if we wanted to determine all the roots for x, then we would turn to using Newton's method for finding the rational roots first
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