Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 3x2+5x. The GCF of 3x2 and 5x is x, because x is the highest power of x that divides evenly into both terms.
Factor out GCF: Factor out the GCF from the expression.We can write 3x2+5x as x(3x+5).
Check for further factorization: Check to see if the expression inside the parentheses can be factored further.The expression 3x+5 does not have a common factor other than 1, and it is not a special product such as a difference of squares or a perfect square trinomial. Therefore, it cannot be factored further.
Write final factored form: Write down the final factored form of the expression.The completely factored form of the expression 3x2+5x is x(3x+5).
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