Explain how a four-term polynomial is factored by grouping and when a quadratic trinomial can be factored using this method.
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soo what do u know about each of them
So say for example we have
We group the terms together by 2's
Notice how that highlighted '-' is there...it WAS '+' but since we have a '-' in front of the parenthesis...when that distributes..it turns that '+' '-' again
So now...we factor out of each parenthesis what we can...
x^5 - 3x^3 ...well looks like at least x^3 can come out of there
2x^2 - 6 ...well we can factor a 2 out of there..
so now we have
Now notice how we have 2 parenthesis that have the same thing inside them...and we also have 2 coefficients of those parenthesis...so we put those together respectively
(coefficients in here)(those things in the parentheis since they are the same)
Everything make sense?
Well say we have
We can actually break up that 10x ...and make it -2x + 12x right? since -2 + 12 =10
so we would then have
NOW we can group these up by 2's
Lets factor out an 'x' of the first set of parenthesis...and also lets factor out a 4 of the last set...
Look the same thing as before...same thing in both parenthesis.and 2 coefficients outside...so again