document.write( "Question 692405: Let f(x)=(x−8)^2(x+7)^3. Find the y-intercept(s), the x-intercept(s), the values of x where f(x)>0, and the values of x where f(x)<0. Do not sketch the graph. \n" ); document.write( "
Algebra.Com's Answer #426992 by lwsshak3(11628)\"\" \"About 
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Let f(x)=(x−8)^2(x+7)^3. Find the y-intercept(s), the x-intercept(s), the values of x where f(x)>0, and the values of x where f(x)<0. Do not sketch the graph.
\n" ); document.write( "**
\n" ); document.write( "f(x)=(x−8)^2(x+7)^3
\n" ); document.write( "y-intercept:
\n" ); document.write( "setx=0
\n" ); document.write( "y=(-8)^2*(7^3)=21952
\n" ); document.write( "..
\n" ); document.write( "x-intercept
\n" ); document.write( "set y=0
\n" ); document.write( "0=(x−8)^2(x+7)^3
\n" ); document.write( "(x-8)^2=0
\n" ); document.write( "x=8 (multiplicity 2)
\n" ); document.write( "..
\n" ); document.write( "(x+7)^3=0
\n" ); document.write( "x=-7 (multiplicity 3)
\n" ); document.write( "..
\n" ); document.write( "number line:
\n" ); document.write( "<....-...-7....+.....8...+....>
\n" ); document.write( "f(x)>0 (-7,∞)
\n" ); document.write( "f(x)<0 (-∞,-7) \n" ); document.write( "
\n" );