document.write( "Question 175312: I need help really bad..What is a Remainder Theorem?
\n" ); document.write( "Ihave been working on these problems for over two hours help\r
\n" ); document.write( "\n" ); document.write( "1. Use the Remainder Theorem to find the reaminder when f(x) is divided by g(x)
\n" ); document.write( "1. f(x)=x^4+8x^3+12x^2;g(x)=x+1\r
\n" ); document.write( "\n" ); document.write( "2. f(x)=5x^6-3x^3+8;g(x)=x+1\r
\n" ); document.write( "\n" ); document.write( "Someone please help m,e on these.....It is important....Thank you
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Algebra.Com's Answer #130407 by nycsub_teacher(90)\"\" \"About 
You can put this solution on YOUR website!
f(x)= x^4+8x^3+12x^2; g(x) = x + 1\r
\n" ); document.write( "\n" ); document.write( "I will do the above question and you can do the next one.\r
\n" ); document.write( "\n" ); document.write( "Do you see x + 1 as the value for the function g?\r
\n" ); document.write( "\n" ); document.write( "You will notice that the quantity has a +1, right?\r
\n" ); document.write( "\n" ); document.write( "Let x = the opposite of +1, which is -1.\r
\n" ); document.write( "\n" ); document.write( "Everywhere there is an x, replace it with -1 and simplify the polynomial function f.\r
\n" ); document.write( "\n" ); document.write( "So, x = -1\r
\n" ); document.write( "\n" ); document.write( "f(-1) = (-1)^4 + 8(-1)^3 + 12(-1)^2\r
\n" ); document.write( "\n" ); document.write( "f(-1) = 1 - 8 + 12\r
\n" ); document.write( "\n" ); document.write( "f(-1) = -7 + 12\r
\n" ); document.write( "\n" ); document.write( "f(-1) = 5\r
\n" ); document.write( "\n" ); document.write( "The remainder is 5.\r
\n" ); document.write( "\n" ); document.write( "This is the basic idea behind the Remainder Theorem.\r
\n" ); document.write( "\n" ); document.write( "Do the same with the other polynomial function.\r
\n" ); document.write( "\n" ); document.write( "Understood?\r
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