document.write( "Question 1155519: a) Find all zeros of the polynomial algebraically \"+P%28x%29=18x%5E4-21x%5E3-81x%5E2%2B84x%2B36+\".
\n" ); document.write( "b) Then write the polynomial in factored form.
\n" ); document.write( "c) Sketch the graph of P(x) showing all real zeros, y-intercept, and end behavior.
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a) Find all zeros of the polynomial algebraically \"+P%28x%29=18x%5E4-21x%5E3-81x%5E2%2B84x%2B36+\".
\n" ); document.write( "b) Then write the polynomial in factored form.
\n" ); document.write( "c) Sketch the graph of P(x) showing all real zeros, y-intercept, and end behavior.
\n" ); document.write( "

\n" ); document.write( "Using the RATIONAL ROOT THEOREM, we find 2 of the zeroes of the function to be: - 2 and 2, thereby leading to factors: \"matrix%281%2C4%2C+%28x+%2B+2%29%28x+-+2%29%2C+and%2C+divisor%2C+x%5E2+-+4%29\"
\n" ); document.write( "Now, using the divisor: \"x%5E2+-+4\" and LONG-DIVISION of POLYNOMIALS, we find the QUOTIENT of \"6x%5E4+-+7x%5E3+-+27x%5E2+%2B+28x+%2B+12%29%2F%28x%5E2+-+4%29\" to be: \"6x%5E2+-+7x+-+3\", which can be factored as: .
\n" ); document.write( "This gives us: (3x + 1)(2x - 3) = 0
\n" ); document.write( "3x + 1 = 0 or 2x - 3 = 0
\n" ); document.write( "3x = - 1 or 2x = 3
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\n" ); document.write( "Therefore, zeroes of
\n" ); document.write( "We ALSO see that the factors of: \n" ); document.write( "
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