Question

The length of a box is 1 cm more than its width. The height of the box is 8 cm greater than the width. The dimensions can be represented by x, x + 1, and x + 8. Multiply the dimensions and find the greatest common factor of the terms.

Answer 1

Answer:

The greatest common factor is x

Step-by-step explanation:

Dimensions: x,x+1,x+8

Multiplication of thee dimensions:

⇒ Product      =   $x(x+1)(x+8)\\x(x^{2}+8x+1x+8)\\x(x^{2} +9x+8)\\x^{3} +9x^{2} +8x$

By factorization ,

$x^{3} +9x^{2} +8x\\x(x^{3} +9x+8)$

Therefore, the greatest common factor of these terms are x

Answer 2

• The greatest common factor (GCF) of a group of numbers has been the largest factor that each of the values shares in common.
• It refers to the largest number that could be divided evenly into two or smaller numbers.
• This component is a smaller number that divides evenly into the larger number.

Given Dimensions:

$\to \bold{x, x+1,\ and\ x+8}$

Multiplying the three dimensions:

$\to x(x+1)(x+8)\\\\\to x(x^2+ 8x+x+8)\\\\\to x(x^2+9x+8)\\\\\to x^3+9x^2+8x$

Therefore, the "greatest common factor" of the term is x.

Learn more:

Factor: brainly.com/question/18877132