document.write( "Question 1059381: It says factor f(x) into linear factors given that k is a zero of f(x), f(x)=4x^3+11x^2-115=28 k=4 . Can you help me? My teacher has not gone over this and I do not know how to do it and I have a Final Exam in my class Friday. Thank you very much!!!!! \n" ); document.write( "
Algebra.Com's Answer #674415 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! f(x) = 4x^3 +11x^2 -115 = 28, and k = 4 is a zero \n" ); document.write( ": \n" ); document.write( "where is k in f(x)? \n" ); document.write( ": \n" ); document.write( "Let's check x = 4 is a zero of f(x) \n" ); document.write( ": \n" ); document.write( "rewrite f(x) \n" ); document.write( ": \n" ); document.write( "4x^3 +11x^2 -115 -28 = 0 \n" ); document.write( ": \n" ); document.write( "4x^3 +11x^2 -143 = 0 \n" ); document.write( ": \n" ); document.write( "If we substitute x=4, we should get 0 \n" ); document.write( ": \n" ); document.write( "4(4^3) +11(4^2) - 143 = 0 \n" ); document.write( ": \n" ); document.write( "256 +176 -143 = 0 \n" ); document.write( ": \n" ); document.write( "432 -143 = 0 \n" ); document.write( ": \n" ); document.write( "289 does not = 0 \n" ); document.write( ": \n" ); document.write( "********************************** \n" ); document.write( "x = 4, is not a zero of f(x) \n" ); document.write( "Do you have f(x) correctly stated? \n" ); document.write( "********************************** \n" ); document.write( ":\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |