document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174121>Question 174121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please give me the answers.. \r<BR>\n" );
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document.write( "use a caret (^) to indicate the power. For example, 53 would be written as 5^3.\r<BR>\n" );
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document.write( "1. Write the equation of a polynomial that has zeros at –3 and 2. \r<BR>\n" );
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document.write( "Write each polynomial function in standard form. Then classify it by degree and by the number of terms.\r<BR>\n" );
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document.write( "2. n = 4m2 – m + 7m4 <BR>\n" );
document.write( "n = 4m3 + 4m – 2; cubic trinomial<BR>\n" );
document.write( "n = 7m4 + 4m2 – m; quartic trinomial<BR>\n" );
document.write( "n = 4m4 + 8m2 – m ; quartic trinomial<BR>\n" );
document.write( "n = 3m3 + 2m – 5; cubic trinomial\r<BR>\n" );
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document.write( "3. f(t) = 4t + 3t3 + 2t – 7\r<BR>\n" );
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document.write( "f(t) = 3t3 + 6t – 7; cubic trinomial<BR>\n" );
document.write( "f(t) = 2t3 + 4t – 1; cubic trinomial<BR>\n" );
document.write( "f(t) = 5t3 + 2t – 7; cubic trinomial<BR>\n" );
document.write( "f(t) = 7t3 + 3t – 4; cubic trinomial\r<BR>\n" );
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document.write( "4. f(r) = 5r + 7 + 2r2 <BR>\n" );
document.write( "f(r) = 8r3 + 5r + 1; cubic trinomial<BR>\n" );
document.write( "f(r) = r2 + 5r + 7; quadratic trinomial<BR>\n" );
document.write( "f(r) = 2r3 + 5r + 7; cubic trinomial<BR>\n" );
document.write( "f(r) = 2r2 + 5r + 7; quadratic trinomial\r<BR>\n" );
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document.write( "For each function, determine the zeros and their multiplicity.\r<BR>\n" );
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document.write( "5. y = (x + 2)2(x – 5)4 <BR>\n" );
document.write( "–2, multiplicity 2; 5, multiplicity 4<BR>\n" );
document.write( "2, multiplicity 2; 5, multiplicity 3<BR>\n" );
document.write( "–2, multiplicity 4; 5, multiplicity 2<BR>\n" );
document.write( "2, multiplicity 2; 7, multiplicity 4\r<BR>\n" );
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document.write( "6. y = (3x + 2)3(x – 5)5 <BR>\n" );
document.write( "4, multiplicity 2; 5, multiplicity 2<BR>\n" );
document.write( "3, multiplicity 4; 2, multiplicity 4<BR>\n" );
document.write( ", multiplicity 3; 5, multiplicity 5<BR>\n" );
document.write( "2, multiplicity 3; 5, multiplicity 5\r<BR>\n" );
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document.write( "7. y = x2(x + 4)3(x – 1) <BR>\n" );
document.write( "2, multiplicity 2; –4, multiplicity 2; 1, multiplicity 1<BR>\n" );
document.write( "0, multiplicity 2; –4, multiplicity 3; 1, multiplicity 1<BR>\n" );
document.write( "3, multiplicity 4; –3, multiplicity 2; 2, multiplicity 3<BR>\n" );
document.write( "0, multiplicity 2; –3, multiplicity 2; 2, multiplicity 3\r<BR>\n" );
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document.write( "8. (x3 + 3x2 – x – 3) ÷ (x – 1) \r<BR>\n" );
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document.write( "10. Use synthetic division to find P(–3) for P(x) = –2x4 – 3x3 – x + 4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129052 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Write the equation of a polynomial that has zeros at –3 and 2.<BR>\n" );
document.write( "Equation: f(x) = (x+3)(x-2)<BR>\n" );
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document.write( "Write each polynomial function in standard form. Then classify it by degree and by the number of terms. <BR>\n" );
document.write( "2. n = 4m2 – m + 7m4 <BR>\n" );
document.write( "n = 4m3 + 4m – 2; cubic trinomial<BR>\n" );
document.write( "n = 7m4 + 4m2 – m; quartic trinomial---Correct<BR>\n" );
document.write( "n = 4m4 + 8m2 – m ; quartic trinomial<BR>\n" );
document.write( "n = 3m3 + 2m – 5; cubic trinomial<BR>\n" );
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document.write( "3. f(t) = 4t + 3t3 + 2t – 7 <BR>\n" );
document.write( "f(t) = 3t3 + 6t – 7; cubic trinomial-----Correct<BR>\n" );
document.write( "f(t) = 2t3 + 4t – 1; cubic trinomial<BR>\n" );
document.write( "f(t) = 5t3 + 2t – 7; cubic trinomial<BR>\n" );
document.write( "f(t) = 7t3 + 3t – 4; cubic trinomial<BR>\n" );
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document.write( "4. f(r) = 5r + 7 + 2r2 <BR>\n" );
document.write( "f(r) = 8r3 + 5r + 1; cubic trinomial<BR>\n" );
document.write( "f(r) = r2 + 5r + 7; quadratic trinomial<BR>\n" );
document.write( "f(r) = 2r3 + 5r + 7; cubic trinomial<BR>\n" );
document.write( "f(r) = 2r2 + 5r + 7; quadratic trinomial----Correct<BR>\n" );
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document.write( "For each function, determine the zeros and their multiplicity. <BR>\n" );
document.write( "5. y = (x + 2)^2(x – 5)^4 <BR>\n" );
document.write( "–2, multiplicity 2; 5, multiplicity 4----Correct<BR>\n" );
document.write( "2, multiplicity 2; 5, multiplicity 3<BR>\n" );
document.write( "–2, multiplicity 4; 5, multiplicity 2<BR>\n" );
document.write( "2, multiplicity 2; 7, multiplicity 4 <BR>\n" );
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document.write( "6. y = (3x + 2)^3(x – 5)^5 <BR>\n" );
document.write( "4, multiplicity 2; 5, multiplicity 2<BR>\n" );
document.write( "3, multiplicity 4; 2, multiplicity 4<BR>\n" );
document.write( "-2/3, multiplicity 3; 5, multiplicity 5----Correct<BR>\n" );
document.write( "2, multiplicity 3; 5, multiplicity 5 <BR>\n" );
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document.write( "7. y = x^2(x + 4)^3(x – 1) <BR>\n" );
document.write( "2, multiplicity 2; –4, multiplicity 2; 1, multiplicity 1<BR>\n" );
document.write( "0, multiplicity 2; –4, multiplicity 3; 1, multiplicity 1----Correct<BR>\n" );
document.write( "3, multiplicity 4; –3, multiplicity 2; 2, multiplicity 3<BR>\n" );
document.write( "0, multiplicity 2; –3, multiplicity 2; 2, multiplicity 3<BR>\n" );
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document.write( "8. (x^3 + 3x^2 – x – 3) ÷ (x – 1)<BR>\n" );
document.write( "1)....1....3....-1....-3<BR>\n" );
document.write( ".......1....4.....3....|..0\r<BR>\n" );
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document.write( "Quotient: x^2 + 4x + 3 <BR>\n" );
document.write( "Remainder: 0<BR>\n" );
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document.write( "10. Use synthetic division to find P(–3) for P(x) = –2x^4 – 3x^3 – x + 4<BR>\n" );
document.write( "-3)....-2....-3....-1....4<BR>\n" );
document.write( ".........-2....3.....-8..|..28\r<BR>\n" );
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document.write( "Quotient: -2x^2 + 3x -8<BR>\n" );
document.write( "Remainder: 28<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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