document.write( "Question 914978: a zero of the function f(x) = 4x^4 - 8x^3 - 19x^2 + 23x - 6 is? \n" ); document.write( "

Algebra.Com's Answer #555377 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi
\n" );
document.write( "a zero of the function f(x) = 4x^4 - 8x^3 - 19x^2 + 23x - 6 is:  x = -2
\n" );
document.write( "(x+2) a factor
\n" );
document.write( "Using Synthetic Division
\n" );
document.write( "					
\n" );
document.write( "-2	4	-8	-19	23	-6
\n" );
document.write( "		-8	32	-26	6
\n" );
document.write( "	4	-16	13	-3	0
\n" );
document.write( " 4x^3 - 16x^2 - 13x - 3 (3 a zero of this)
\n" );
document.write( "					
\n" );
document.write( "3	4	-16	 13	-3
\n" );
document.write( "		12	-12	3	
\n" );
document.write( "	4	-4	1	0	0
\n" );
document.write( "(x+2)(x-3)(4x^2 - 4x + 1) = (x+2)(x-3)(2x-1)^2
\n" );
document.write( "roots: -2, 3, 1/2(multiplicity of two)\r
\n" );
document.write( "\n" );
document.write( "
\n" );
document.write( " \n" );
document.write( "

\n" );