MULTIPLYING POLYNOMIALS USING BOX METHOD WORKSHEET

Problem 1 :

Multiply the following polynomials using box method.

(2x + 8) and (6x + 2)

Problem 2 :

Multiply the following polynomials using box method.

(2x - 3) and (3x + 5)

Problem 3 :

Multiply the following polynomials using box method.

2x and (6x² - 9xy + y²)

Problem 4 :

Multiply the following polynomials using box method.

(7x - 3) and (x² - 2x + 7)

Problem 5 :

Multiply the following polynomials using box method.

(4x + 2) and (6x² - x + 2)

Solutions

Problem 1 :

Multiply the following polynomials using box method.

(2x + 8) and (6x + 2)

Solution :

Here we use box method to multiply the above polynomials.

The 1^st and 2^nd polynomial is containing two terms, so the number of rows and number of columns in the box must be 2.

Step 1 :

Step 2 :

Combining the terms

  =  12x² + 4x + 48x + 16

  =  12x² + 52x + 16

Problem 2 :

Multiply the following polynomials using box method.

(2x - 3) and (3x + 5)

Solution :

Here we use box method to multiply the above polynomials.

The 1^st and 2^nd polynomial is containing two terms, so the number of rows and number of columns in the box must be 2.

Step 1 :

Step 2 :

Combining the terms

  =  6x² + 10x -9x - 15

  =  6x² + x - 15

Problem 3 :

Multiply the following polynomials using box method.

2x and (6x² - 9xy + y²)

Solution :

Here we use box method to multiply the above polynomials.

In the box, 

Number of rows = 1

Number of columns = 3

Step 1 :

Step 2 :

We don't have any like terms

  =  12x² - 18xy + 2xy²

Hence the product of the above binomials is 12x² - 18xy + 2xy²

Problem 4 :

Multiply the following polynomials using box method.

(7x - 3) and (x² - 2x + 7)

Solution :

Here we use box method to multiply the above polynomials.

In the box, 

Number of rows = 2

Number of columns = 3

Step 1 :

Step 2 :

Combining the like terms

  =  7x³ - 14x² - 3x² + 49x + 6x - 21

  =  7x³ - 17x² + 55x - 21

Problem 5 :

Multiply the following polynomials using box method.

(4x + 2) and (6x² - x + 2)

Solution :

Here we use box method to multiply the above polynomials.

In the box, 

Number of rows = 2

Number of columns = 3

Step 1 :

Step 2 :

Combining the like terms

  =  24x³ - 4x² +12x² + 8x - 2x + 4

  =  24x³ + 8x² + 6x + 4

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