Mathematics: X3+x2+x+1 by grouping

X3+x2+x+1 by grouping - id32110119034, chloeholt123

kristy2958

16.03.2022

$x^3+x^2+x+1=\left(x+1\right)\left(x^2+1\right)$

Step-by-step explanation:

Given the expression

x^3+x^2+x+1

Factorized by grouping

$x^3+x^2+x+1=\left(x^3+x^2\right)+\left(x+1\right)$

Factor out x² from x³+ x²: x²(x+1)

$=\left(x+1\right)+x^2\left(x+1\right)$

Factor common term x+1

$=\left(x+1\right)\left(x^2+1\right)$

Therefore, we conclude that:

$x^3+x^2+x+1=\left(x+1\right)\left(x^2+1\right)$

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robert7248

23.01.2023

Step-by-step explanation:

Perimeter of a shape is the distance around it. The bakery is rectangular. The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

Where

L represents the length of the rectangle.

W represents the width of the rectangle.

The bakery is 13 yards wide and 19 yards long. Therefore,

Perimeter = 2(13 + 19) = 64 yards

The wooden shelf cost 14.17 per yard. Therefore, the total cost of the bakers shelf is

64 × 14.17 = 906.88

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