In terms of x what is the volume of the rectangular prism, Mathematics

Assignment Help:

The dimensions of a rectangular prism can be expressed as x + 1, x - 2, and x + 4. In terms of x, what is the volume of the prism?

Since the formula for the volume of a rectangular prism is V = l × w × h, multiply the dimensions jointly:  (x + 1)(x - 2)(x + 4). Use FOIL (First terms of each binomial multiplied, Outer terms in each multiplied and Inner terms of each multiplied, and Last term of each binomial multiplied) to multiply the ?rst two binomials: (x + 1 )(x - 2); (x • x) + x(-2) + (1 • x) + 1(-2). Simplify through multiplying inside each term: x2 - 2x + 1x - 2; combine like terms: x2 - x - 2. Multiply the third factor through this result: (x + 4)(x2 - x - 2). To do this, use the distributive property  to multiply the ?rst term of the binomial, x, through each term of the trinomial, and then the second term of the binomial, 4, by each term of the trinomial: x(x2  +  x  +  2)     4(x2 +   x + 2). Distribute:  (x • x2) + (x • -x) + (x • -2) + (4 • x2) + (4 • -x) + (4 • -2). Simplify through multiplying in each term: x3 - x2 - 2x + 4x2 - 4x - 8. Use the commutative property to arrange like terms further to each other: x3 - x2 + 4x2 - 2x - 4x - 8; combine such as terms: x3 + 3x2 - 6x - 8.

 


Related Discussions:- In terms of x what is the volume of the rectangular prism

How to dealing with exponents on negative bases, How to Dealing With Expone...

How to Dealing With Exponents on Negative Bases ? Exponents work just the same way on negative bases as they do on positive ones: (-2)0 = 1 Any number (except 0) raised to the

Focal chord of the parabola, show that the circle described on any focal c...

show that the circle described on any focal chord of the parabola touches the directrix

Determine the eigenvalues and eigenvectors of the matrix, Determine the eig...

Determine the eigenvalues and eigenvectors of the subsequent matrix. Solution : The first thing that we require to do is determine the eigen-values. It means we require

TRIANGLES, ABCD is a trapezium AB parallel to DC prove square of AC - squar...

ABCD is a trapezium AB parallel to DC prove square of AC - square of BCC= AB*

Find least number of cables required to connect 100 computer, Find out the ...

Find out the least number of cables required to connect 100 computers to 20 printers to assurance that 20 computers can directly access 20 different printers.  Justify your answer.

Relations, Suppose A and B be two non-empty sets then every subset of A Χ B...

Suppose A and B be two non-empty sets then every subset of A Χ B describes a relation from A to B and each relation from A to B is subset of AΧB. Normal 0 fals

Numbers, use the distributive law to write each multiplication in a differe...

use the distributive law to write each multiplication in a different way. the find the answer. 12x14 16x13 14x18 9x108 12x136 20x147

Graphical understanding of derivatives, Graphical Understanding of Derivati...

Graphical Understanding of Derivatives: A ladder 26 feet long is leaning against a wall. The ladder begins to move such that the bottom end moves away from the wall at a const

Core concepts, define marketing and show its core concepts

define marketing and show its core concepts

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd