document.write( "Question 973299: A certain polynomial function f(x) of degree 2 has zeroes at -3 and 5, and f(2)= -30. What is the polynomial function f(x)? \n" ); document.write( "

Algebra.Com's Answer #595523 by macston(5194) $\"\"$ $\"About$

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(x+3)=0 zero at -3
\n" ); document.write( "(x-5)=0 zero at 5
\n" ); document.write( "(x+3)(x-5)=0 for f(2)=-30, let a be variable to adjust to -30:
\n" ); document.write( "a(2+3)(2-5)=-30
\n" ); document.write( "a(5)(-3)=-30
\n" ); document.write( "a(-15)=-30
\n" ); document.write( "a=2
\n" ); document.write( "The entire equation:
\n" ); document.write( " $\"f%28x%29=%282%29%28x%2B3%29%28x-5%29\"$
\n" ); document.write( " $\"f%28x%29=%282x%2B6%29%28x-5%29\"$
\n" ); document.write( " $\"f%28x%29=2x%5E2-4x-30\"$
\n" ); document.write( " \n" ); document.write( "

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