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FOIL Method Calculator

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1

Solved example of foil method

$\left(3z+5\right)\left(2z+7\right)$
2

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 ($L\times L$):

  • ($F\times F$) is $(3z)(2z)$
  • ($O\times O$) is $(3z)(7)$
  • ($I\times I$) is $(5)(2z)$
  • ($L\times L$) is $(5)(7)$

Then, combine the four terms in a sum: $(F\times F) + (O\times O) + (I\times I) + (L\times L)$:

$3\cdot 2z\cdot z+3\cdot 7z+5\cdot 2z+5\cdot 7$
3

Multiply $3$ times $2$

$6z\cdot z+3\cdot 7z+5\cdot 2z+5\cdot 7$
4

When multiplying two powers that have the same base ($z$), you can add the exponents

$6z^2+21z+10z+35$
5

Adding $21z$ and $10z$

$31z+6z^2+35$

Final Answer

$31z+6z^2+35$

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