Polynomials Calculator

Solved example of polynomials

We can multiply the polynomials $\left(6x-5\right)\left(2x+3\right)$ 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 $(6x)(2x)$
• ($O\times O$) is $(6x)(3)$
• ($I\times I$) is $(-5)(2x)$
• ($L\times L$) is $(-5)(3)$

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

Multiply $6$ times $2$

Multiply $6$ times $3$

Multiply $-5$ times $2$

Multiply $-5$ times $3$

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

Combining like terms $18x$ and $-10x$