4. Factoring Quadratic Expressions
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Is there a greatest common factor between all of the terms in the given expression? If so, you should factor that out first.
2(x-5)(2x-1)
We want to completely factor the given expression. To do so, we will first identify and factor out the greatest common factor.
Split into factors
Factor out 2
2( 2x^2-11x+5 ) ⇕ 2( 2x^2+( - 11)x+ 5 ) We know that a= 2, b= - 11, and c= 5. There are now three steps we need to follow in order to rewrite the above expression.
c|c|c|c 1^(st)Factor &2^(nd)Factor &Sum &Result - 2 &- 5 &-2 + (-5) &- 7 - 1 & - 10 & - 1 + ( - 10) & - 11
Factor out x
Factor out - 5
Factor out (2x-1)