Solved example of foil method
We can multiply the polynomials $\left(3z+5\right)\left(2z+7\right)$ by using the FOIL method. The acronym F O I L stands for multiplying the terms in each bracket in the following order: First by First ($F\times F$), Outer by Outer ($O\times O$), Inner by Inner ($I\times I$), Last by Last ($L\times L$):
Then, combine the four terms in a sum: $(F\times F) + (O\times O) + (I\times I) + (L\times L)$:
Multiply $3$ times $2$
When multiplying two powers that have the same base ($z$), you can add the exponents
Adding $21z$ and $10z$
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