SOLUTION: How do I work the following problem? Increasing cube. Each of the three dimension of a cube wth a volume of x^3 cubic centimeters is increased by a whole number of cetimieters. If

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Question 140899This question is from textbook UoP Special Edition Elementary and Intermediate Algebra
: How do I work the following problem?
Increasing cube. Each of the three dimension of a cube wth a volume of x^3 cubic centimeters is increased by a whole number of cetimieters. If the new volume is x^3+10x^2+31x+30 cubic centimeters, and the new height is x+2 centimeters, then what are the new length and width?
This question is from textbook UoP Special Edition Elementary and Intermediate Algebra

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(x^3+10x^2+31x+30)/(x+2)
=x^2+8x+15 use synthetic division or long division.
=(x+5)(x+3) Factor
x+2, x+3, x+5 The 3 dimensions.
.
Ed