document.write( "Question 1093636: The polynomial of degree 3, P(x) has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at x=−4, The y-intercept is y=−51.2. Find a formula for P(x). \n" ); document.write( "
Algebra.Com's Answer #708274 by stanbon(75887) ![]() You can put this solution on YOUR website! The polynomial of degree 3, P(x) has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at x=−4, The y-intercept is y=−51.2. Find a formula for P(x). \n" ); document.write( "----- \n" ); document.write( "P(x) = A(x-4)^2(x+4) \n" ); document.write( "----- \n" ); document.write( "Solve for \"A\" using (0,-51.2) \n" ); document.write( "----- \n" ); document.write( "P(0) = -51.2 \n" ); document.write( "-51.2 = A(0-4)^2(0+4) \n" ); document.write( "-51.2 = A*16*4 \n" ); document.write( "-51.2 = A*64 \n" ); document.write( "A = -51.2/64 \n" ); document.write( "--------------------- \n" ); document.write( "Ans: P(x) = (-51.2/64)(x-4)^2(x+4) \n" ); document.write( "---------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " |