Answer
standard form: $4x^2$$+12x+5$
factored form: $(2x+5)(2x+1)$
Work Step by Step
Combine like terms (similar colored tiles) to get the standard form of the polynomial: $4x^2$$+12x+5$
Factor by looking at the polynomial model
One of the more visual ways to see how to factor this polynomial is using the "box method."
We do this by finding the greatest common factor in each row and column of the box:
GCF of $4x^2$ and $2x$: $2x$
GCF of $10x$ and $5$: $5$
GCF of $4x^2$ and $10x$: $2x$
GCF of $2x$ and $5$: $1$
Combine the GCFs of the two columns and then the two rows:
$(2x+5)(2x+1)$
