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 …

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 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 …

Jul 23, 2017 · The remainder when dividing the polynomial 4x3 +2x2 − 18x + 38 by x + 3 is 2. This is found using the Remainder Theorem by evaluating the polynomial at x = −3. Therefore, the …

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. …

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? …

Dec 6, 2022 · To simplify the given expression, divide each term in the numerator and denominator by the common factors, x^2 and 2x.The simplified expression is (2x^2 - 6x)/ (2x + …

Mar 13, 2018 · 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 …

Oct 20, 2020 · The polynomial function f (x) = x5 + 4x3 − 5x has a total of 5 complex zeros, as dictated by its degree of 5. This means it can have a combination of real and non-real complex …

Apr 28, 2023 · In this case, −4x3 and −12x3 are like terms because they both contain the variable x raised to the power of 3. We start by combining the coefficients of the like terms: −4 + (−12) …