document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48414>Question 48414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please im asking for some help with the following promblems. You guys have really helped me over summer.Thank you'll for your dedication to helping others.\r<BR>\n" );
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document.write( "1)What is f(3) if f(x) = -5x3 + 6x2 - x - 4?<BR>\n" );
document.write( "a. -74<BR>\n" );
document.write( "b. -88<BR>\n" );
document.write( "c. 74<BR>\n" );
document.write( "d. 182<BR>\n" );
document.write( "2)What is f(x + 1) if f(x) = 6x3 - 3x2 + 4x - 9?<BR>\n" );
document.write( "a. 6x3 + 12x2 + 4x + 2<BR>\n" );
document.write( "b. 6x3 + 3x2 + 8x + 6<BR>\n" );
document.write( "c. 6x3 + 21x2 + 20x + 4<BR>\n" );
document.write( "d. 6x3 + 15x2 + 16x - 2<BR>\n" );
document.write( "3)What is 3[f(x + 2)] if f(x) = x3 + 2x2 - 4?<BR>\n" );
document.write( "a. x3 + 8x2 + 20x + 12<BR>\n" );
document.write( "b. 3x3 + 12x2 + 18x + 6<BR>\n" );
document.write( "c. 3x3 + 24x2 + 60x + 36<BR>\n" );
document.write( "d. 3x3 + 18x2 + 24x + 60 <BR>\n" );
document.write( "4)Use synthetic division to determine which of the following is a factor of x3 - 3x2 - 10x + 24.<BR>\n" );
document.write( "a. x - 2<BR>\n" );
document.write( "b. x - 3<BR>\n" );
document.write( "c. x + 4<BR>\n" );
document.write( "d. x + 8<BR>\n" );
document.write( "5)Use synthetic division to determine which of the following is a factor of 2x3 - 13x2 + 17x + 12.<BR>\n" );
document.write( "a. x - 2<BR>\n" );
document.write( "b. x - 3<BR>\n" );
document.write( "c. x + 4<BR>\n" );
document.write( "d. x + 6<BR>\n" );
document.write( "6)What is the remainder when (6x3 + 9x2 - 6x + 2) ÷ (x + 2)?<BR>\n" );
document.write( "a. -4<BR>\n" );
document.write( "b. 0<BR>\n" );
document.write( "c. 2<BR>\n" );
document.write( "d. 74<BR>\n" );
document.write( "7)What is the remainder when (x3 - x2 - 5x - 3) ÷ (x + 1)?<BR>\n" );
document.write( "a. -8<BR>\n" );
document.write( "b. 0<BR>\n" );
document.write( "c. 2<BR>\n" );
document.write( "d. 4<BR>\n" );
document.write( "8)What are the factors of x3 + 2x2 - x - 2?<BR>\n" );
document.write( "a. (x - 1)(x + 1)(x - 2)<BR>\n" );
document.write( "b. (x - 2)(x + 2)(x - 1)<BR>\n" );
document.write( "c. (x - 2)(x + 2)(x + 1)<BR>\n" );
document.write( "d. (x - 1)(x + 1)(x + 2)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32029 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=32029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)What is f(3) if f(x) = -5x3 + 6x2 - x - 4?<BR>\n" );
document.write( "a. -74<BR>\n" );
document.write( "b. -88<BR>\n" );
document.write( "c. 74<BR>\n" );
document.write( "d. 182<BR>\n" );
document.write( "f(3) = -5(3)^3 + 6(3)^2 - 3 - 4<BR>\n" );
document.write( "f(3) = -5(27) + 6(9) - 7<BR>\n" );
document.write( "f(3) = -135 + 54 - 7 = -88<BR>\n" );
document.write( "(b.)<BR>\n" );
document.write( "2)What is f(x + 1) if f(x) = 6x3 - 3x2 + 4x - 9?<BR>\n" );
document.write( "a. 6x3 + 12x2 + 4x + 2<BR>\n" );
document.write( "b. 6x3 + 3x2 + 8x + 6<BR>\n" );
document.write( "c. 6x3 + 21x2 + 20x + 4<BR>\n" );
document.write( "d. 6x3 + 15x2 + 16x - 2<BR>\n" );
document.write( "f(x + 1) = 6(x + 1)^3 - 3(x + 1)^2 + 4(x + 1) - 9<BR>\n" );
document.write( "f(x + 1) = 6(x^3 + 3x^2 + 3x + 1) - 3(x^2 + 2x + 1) + 4x + 4 - 9<BR>\n" );
document.write( "f(x + 1) = 6x^3 + 18x^2 + 18x + 6 - 3x^2 - 6x - 3 + 4x + 4 - 9<BR>\n" );
document.write( "f(x + 1) = 6x^3 + 15x^2 + 16x - 2<BR>\n" );
document.write( "(d.)<BR>\n" );
document.write( "3)What is 3[f(x + 2)] if f(x) = x3 + 2x2 - 4?<BR>\n" );
document.write( "a. x3 + 8x2 + 20x + 12<BR>\n" );
document.write( "b. 3x3 + 12x2 + 18x + 6<BR>\n" );
document.write( "c. 3x3 + 24x2 + 60x + 36<BR>\n" );
document.write( "d. 3x3 + 18x2 + 24x + 60<BR>\n" );
document.write( "f(x + 2) = (x + 2)^3 + 2(x + 2)^2 - 4<BR>\n" );
document.write( "f(x + 2) = x^3 + 6x^2 + 12x + 8 + 2x^2 + 8x + 8 - 4<BR>\n" );
document.write( "f(x + 2) = x^3 + 8x^2 + 20x + 12<BR>\n" );
document.write( "3[f(x + 2)] = 3x^3 + 24x^2 + 60x + 36<BR>\n" );
document.write( "(c.)<BR>\n" );
document.write( "4)Use synthetic division to determine which of the following is a factor of x3 - 3x2 - 10x + 24.<BR>\n" );
document.write( "a. x - 2<BR>\n" );
document.write( "b. x - 3<BR>\n" );
document.write( "c. x + 4<BR>\n" );
document.write( "d. x + 8<BR>\n" );
document.write( "2|....1....-3....-10....24<BR>\n" );
document.write( ".......1.....-1.....-12....0<BR>\n" );
document.write( "(x - 2) works .... (a.)<BR>\n" );
document.write( "5)Use synthetic division to determine which of the following is a factor of 2x3 - 13x2 + 17x + 12.<BR>\n" );
document.write( "a. x - 2<BR>\n" );
document.write( "b. x - 3<BR>\n" );
document.write( "c. x + 4<BR>\n" );
document.write( "d. x + 6<BR>\n" );
document.write( "3|....2....-13....17....12<BR>\n" );
document.write( ".......2.....-7.....-4....0<BR>\n" );
document.write( "(x - 3) is a factor .... (b.)<BR>\n" );
document.write( "6)What is the remainder when (6x3 + 9x2 - 6x + 2) ÷ (x + 2)?<BR>\n" );
document.write( "a. -4<BR>\n" );
document.write( "b. 0<BR>\n" );
document.write( "c. 2<BR>\n" );
document.write( "d. 74<BR>\n" );
document.write( "-2|....6....9....-6....2<BR>\n" );
document.write( "..........6.....-3.....0....2<BR>\n" );
document.write( "(c.)<BR>\n" );
document.write( "7)What is the remainder when (x3 - x2 - 5x - 3) ÷ (x + 1)?<BR>\n" );
document.write( "a. -8<BR>\n" );
document.write( "b. 0<BR>\n" );
document.write( "c. 2<BR>\n" );
document.write( "d. 4<BR>\n" );
document.write( "-1|....1....-1....-5....-3<BR>\n" );
document.write( ".........1.....-2.....-3....0<BR>\n" );
document.write( "(b.)<BR>\n" );
document.write( "8)What are the factors of x3 + 2x2 - x - 2?<BR>\n" );
document.write( "a. (x - 1)(x + 1)(x - 2) = (x^2 - 1)(x - 2) = x^3 - 2x^2 - x + 2<BR>\n" );
document.write( "b. (x - 2)(x + 2)(x - 1)<BR>\n" );
document.write( "c. (x - 2)(x + 2)(x + 1)<BR>\n" );
document.write( "d. (x - 1)(x + 1)(x + 2) = (x^2 - 1)(x + 2) = x^3 + 2x^2 - x - 2<BR>\n" );
document.write( "(d.) </SPAN>\n" );
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