Nov 7, 2017 · 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 …

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 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 …

For example, when expanding (2y +4x3)4, we identify how many times each variable contributes to achieve the desired powers of x and y. The Binomial Theorem states that the coefficient of a …

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.

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. …

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 + …

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.

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 these points. This …

Jan 8, 2018 · The height is labeled (x minus 4) centimeters. The base is labeled (2 x squared 2 x minus 6) centimeters. Which simplified expression represents the area of the parallelogram? …