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

Rivka Thorpe 2021-09-15 Answered
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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Expert Answer

dessinemoie
Answered 2021-09-16 Author has 90 answers
To find:
The product of the polynomials by Using FOIL method.
Given:
The polynomials are (3x+1) and (2x+1).
Formula used:
FOIL method.
(a+b)(c+d)=ac+ad+bc+bd
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:
(3x+1)(2x+1)=3x2x+3x1+12x+11
=6x2+3x+2x+1
6x2+5x+1
Thus, the product of the polynomial (3x+1) and (2x+1) is 6x2+5x+1
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