document.write( "Question 1131704: Solve 6x⁴ - 35x³ + 62x² - 35x + 6 = 0 \n" ); document.write( "

Algebra.Com's Answer #748365 by rothauserc(4718) $\"\"$ $\"About$

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6x^4 - 35x^3 + 62x^2 - 35x + 6 = 0
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\n" ); document.write( "check for the factors of 6(this is the constant and also the leading coefficient in the above equation)
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\n" ); document.write( "use the Rational Zeros Theorem
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\n" ); document.write( "factors for 6 are 1, 2, 3, 6
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\n" ); document.write( "the possible zeros are
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\n" ); document.write( "(+ or - 1, 2, 3, 6)/(1, 2, 3, 6) = + or - 1, 2, 3, 6, 1/2, 1, 3/2, 3, 1/3, 2/3, 1, 2, 1/6, 1/3, 1/2, 1 =
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\n" ); document.write( "-6, -3, -2, -3/2, -1, -1/2, -2/3, -1/3, -1/6, 1/6, 1/3, 2/3, 1/2, 1, 3/2, 2, 3, 6
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\n" ); document.write( "look at the graph to see if we can eliminate any of the possible zeros
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\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-1%2C+4%2C+-10%2C+50%2C+6x%5E4+-+35x%5E3+%2B+62x%5E2+-+35x+%2B+6%29+\"$
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\n" ); document.write( "from the graph we see that there are no negative roots and 4 positive roots
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\n" ); document.write( "we can eliminate 1/6, 2/3, 1, 3/2, 6
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\n" ); document.write( "the roots are 1/3, 1/2, 2, 3
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\n" ); document.write( "to check this substitute for x in the equation
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