document.write( "Question 118817: What function has x-intercepts -2/7 and 5/3 ? I think the answer is y=21x^2-29x-10 but I'm really not sure if I know what I'm doing. Can someone please explain it to me? Thanks. \n" ); document.write( "
Algebra.Com's Answer #86943 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Your answer is absolutely correct!
\n" ); document.write( "Here's how I did it so you can compare with the method you used.
\n" ); document.write( "The x-intercepts (also known as the \"zeros\") are given as:
\n" ); document.write( "\"x%5B1%5D+=+-2%2F7\" and \"x%5B2%5D+=+5%2F3\"
\n" ); document.write( "Since you know the x-intercepts, you can find the factors of the original equation.
\n" ); document.write( "If \"x+=+-2%2F7\" then \"x%2B2%2F7+=+0\" This is one of the factors.
\n" ); document.write( "If \"x+=+5%2F3\" then \"x-5%2F3+=+0\" This is the other factor.
\n" ); document.write( "To find the equation, just multiply these two factor and set equal to zero:
\n" ); document.write( "\"%28x%2B2%2F7%29%28x-5%2F3%29+=+0\"
\n" ); document.write( "\"x%5E2-%285%2F3%29x%2B%282%2F7%29x-10%2F21+=+0\" Multiply through by the LCD of 21.
\n" ); document.write( "\"21x%5E2-35x%2B6x-10+=+0\" Simplify.
\n" ); document.write( "\"21x%5E2-29x-10+=+0\"... et Voila!
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