Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.

(3x+1)(2x+1)

(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)

(3x+1)(2x+1)

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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:

$(3x+1)(2x+1)=3x\cdot 2x+3x\cdot 1+1\cdot 2x+1\cdot 1$

$=6{x}^{2}+3x+2x+1$

$6{x}^{2}+5x+1$

Thus, the product of the polynomial (3x+1) and (2x+1) is$6{x}^{2}+5x+1$

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:

Thus, the product of the polynomial (3x+1) and (2x+1) is

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