Identify Common Factor: Identify the common factor in both terms of the expression 5x+8x2. Both terms have an x in common.
Factor Out Common x: Factor out the common x from both terms.x(5+8x)=5x+8x2Check to ensure that when you distribute the x back into the parentheses, you get the original expression.x⋅5+x⋅8x=5x+8x2
Check Distribution: Check if the expression inside the parentheses can be factored further.The expression 5+8x inside the parentheses does not have any common factors and is not a special polynomial (like a difference of squares or a perfect square trinomial), so it cannot be factored further.