A rectangular sheet of metal has identical squares cut from each corner. The sheet is then bent along the dotted lines to form an open box. The volume of the box is 420 in³. The equation 4x3 …

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what …

Here, a = 2y, b = 4x3, and n = 4. To determine the term containing x9y, we need to express x9 and y in terms of their powers from the expansion. y must come from the first term, and it will …

Nov 5, 2018 · To analyze the function f (x) = x4 + 4x3 −12x2 − 32x + 64, we calculate its derivative to find critical points, then apply the second derivative test to determine the nature of …

Jul 13, 2020 · The water usage at a car wash is modeled by the equation W (x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is …

The four roots of the function f (x) = x4 − 4x3 − 4x2 +36x − 45 ordered from least to greatest are: -1, 1, 3, and two complex roots. To find all the zeroes of the function f (x) = x4 − 4x3 −4x2 + …

Jul 19, 2016 · By substituting x = −2 into the function f (x) = 2x4 − 4x3 − 11x2 + 3x − 6, we find that f (−2) = 8. This involves calculating each term after substitution and combining the results. …

Apr 27, 2025 · The subtraction of the polynomial (4x3 − 6x2 − x +7) from (−7x3 − 7x2 + 6x − 2) results in −11x3 − x2 + 7x − 9. This corresponds to option D.

Apr 1, 2017 · This answer is FREE! See the answer to your question: Which shows one way to determine the factors of [tex]4x^3 + x^2 - 8x - 2 [/tex] by groupin… - brainly.com

The division of 4x3 + 2x + 1 by x +1 results in a quotient of 4x2 − 4x +6 with a remainder of −5. The final expression is therefore represented in option C.