# Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(3x+1)(2x+1)

Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.
(3x+1)(2x+1)
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To find:
The product of the polynomials by Using FOIL method.
Given:
The polynomials are (3x+1) and (2x+1).
Formula used:
FOIL method.
F stands for product of first term of each polynomials.
O stands for product of first term of first polynomial and outside term of second term of second polynomial.
I stands for the product of second term of first polynomial and First term of second polynomial.
L stands for the product of second term of first polynomial and second term of second polynomial.
Calculation:
The product of (3x+1) and (2x+1) can be obtained by FOIL method as shown below:
$\left(3x+1\right)\left(2x+1\right)=3x\cdot 2x+3x\cdot 1+1\cdot 2x+1\cdot 1$
$=6{x}^{2}+3x+2x+1$
$6{x}^{2}+5x+1$
Thus, the product of the polynomial (3x+1) and (2x+1) is $6{x}^{2}+5x+1$