document.write( "Question 483527: Factor: s^2+3s+8s+24 \n" ); document.write( "

Algebra.Com's Answer #330897 by tinbar(133) $\"\"$ $\"About$

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s^2+3s+8s+24 = (s^2+3s)+(8s+24). From the first bracket we can factor out an 's' term, and from the second bracket we can factor out '8'. So now we have s(s+3)+8(s+3). Notice how the second bracket is the same, they are both (s+3). In the same way we took a bracket of two numbers being added and factored them individually, we can now take the entire term s(s+3)+8(s+3) and factor out the s+3 leaving us with (s+8)*(s+3), which are the factors we are looking for. \n" ); document.write( "

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