document.write( "Question 58340: I'm stuck on these two, could anyone help please?\r
\n" ); document.write( "\n" ); document.write( "Factor the algebraic expressions completely:
\n" ); document.write( "6x^2 - 28x + 16\r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "x^4 + 2x^3 - 3x - 6\r
\n" ); document.write( "\n" ); document.write( "Thank you very much! \n" ); document.write( "

Algebra.Com's Answer #39953 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
Factor the algebraic expressions completely:
\n" ); document.write( "There are other method you can use for the first polynomial. I am grouping or using the ac method or using the arch method it's got a lot of names.
\n" ); document.write( " $\"6x%5E2-28x%2B16\"$ First factor out the GCF, 2.
\n" ); document.write( " $\"2%283x%5E2-14x%2B8%29\"$ 2 factors that multiply to give you ac=3*8=24, but add to give you b=-14 are -12 and -2 (-12*-2=24 and -2-12=-14) Replace the middle term with -12x-2x
\n" ); document.write( " $\"2%283x%5E2-12x-2x%2B8%29\"$ Group the first two and last two terms
\n" ); document.write( " $\"2%28%283x%5E2-12x%29%2B%28-2x%2B8%29%29\"$ Factor out the GCF in each parenthesis.
\n" ); document.write( " $\"2%283x%28x-4%29-2%28x-4%29%29\"$ Factor out the x-4
\n" ); document.write( " $\"2%28x-4%29%283x-2%29\"$
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\n" ); document.write( "and
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\n" ); document.write( "You have to facto by grouping.
\n" ); document.write( " $\"x%5E4%2B2x%5E3-3x-6\"$ Group the first two terms and the last two terms.
\n" ); document.write( " $\"%28x%5E4%2B2x%5E3%29%2B%28-3x-6%29\"$ Factor the GCF out of each.
\n" ); document.write( " $\"x%5E3%28x%2B2%29-3%28x%2B2%29\"$ Factor (x+2) out of each.
\n" ); document.write( " $\"%28x%2B2%29%28x%5E3-3%29\"$
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\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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