Solved example of foil method
Multiply the single term $2z+7$ by each term of the polynomial $\left(3z+5\right)$
Multiply the single term $3z$ by each term of the polynomial $\left(2z+7\right)$
When multiplying two powers that have the same base ($z$), you can add the exponents
Multiply the single term $5$ by each term of the polynomial $\left(2z+7\right)$
Combining like terms $21z$ and $10z$
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