Ask Question
1 April, 07:24

a rectangular box is 24 in. long, 12 in wide, and 18 in high. If each dimension is increased by x in ... write a polynomial function in standard form modeling the volume of the box

+5
Answers (1)
  1. 1 April, 07:32
    0
    V = x³ + 54x² + 936x + 5,184

    Step-by-step explanation:

    If we add a value of 'x' to each side of the box, the new dimensions can be represented asx + 24x + 12 and x + 18To find the volume of the new box, multiply all of the dimensions togetherV = (x + 24) (x + 12) (x + 18) Foil the first and second binomial ... V = (x² + 36x + 288) (x + 18) Now multiply the two polynomials together ... V = x² (x) + 36x (x) + 288x + x² (18) + 36x (18) + 288 (18) V = x³ + 36x² + 288x + 18x² + 648x + 5,184which simplifies toV = x³ + 54x² + 936x + 5,184 where x represents the increase in inches
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “a rectangular box is 24 in. long, 12 in wide, and 18 in high. If each dimension is increased by x in ... write a polynomial function in ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers