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4 years ago

if x-1 is a factor of P(x)=x^3- 5x^2 + 7x-3 which of the following represents the complete factorization for P(x)?

Mathematics

1 answer:

kozerog [31]4 years ago

3 0

Answer:

P(x) = (x-1)² (x-3)

Step-by-step explanation:

P(x)=x³- 5x² + 7x-3 = x² (x-1) - 4x(x-1) + 3(x-1) = (x²-4x+3)(x-1)

P(x) = (x-1)(x-3)(x-1) = (x-1)² (x-3)

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If the side length of of rectangle is 3x-3 and the top length is 6, how do I write a linear equation the represents the area and

Roman55 [17]

Perimeter of the rectangle is: 6x + 6 cm

Area of the rectangle is: 18x - 18 cm²

<h3>What is the Area and Perimeter of a Rectangle?</h3>

Area = (length)(width)

Perimeter = 2(length + width).

Given the following:

Length of rectangle = 3x - 3

Width = 6

Area = (3x - 3)(6)

Area = 18x - 18 cm²

Perimeter = 2(3x - 3 + 6) = 2(3x + 3)

Perimeter = 6x + 6 cm

Learn more about the rectangle on:

brainly.com/question/1549055

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7 0

2 years ago

The dimensions of a closed rectangular box are measured as 60 centimeters, 50 centimeters, and 70 centimeters, with an error in

Studentka2010 [4]

Answer:

The maximum error in calculating the surface area of the box is 72 square centimeters.

Step-by-step explanation:

From Geometry, the surface area of the closed rectangular box ( $A_{s}$ ), in square centimeters, is represented by the following formula:

$A_{s} = w\cdot l + (w + l)\cdot h$ (1)

Where:

$w$ - Width, in centimeters.

$l$ - Length, in centimeters.

$h$ - Height, in centimeters.

And the maximum error in calculating the surface area ( $\Delta A_{s}$ ), in square centimeters, is determined by the concept of total differentials, used in Multivariate Calculus:

$\Delta A_{s} = \left(l+h\right)\cdot \Delta w + \left(w+h\right)\cdot \Delta l + (w+l)\cdot \Delta h$ (2)

Where:

$\Delta w$ - Measurement error in width, in centimeters.

$\Delta l$ - Measurement error in length, in centimeters.

$\Delta h$ - Measurement error in height, in centimeters.

If we know that $\Delta w = \Delta h = \Delta l = 0.2\,cm$ , $w = 60\,cm$ , $l = 50\,cm$ and $h = 70\,cm$ , then the maximum error in calculating the surface area is: