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.

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 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? â€"4x3 …

Sep 9, 2020 · This is a polynomial function of degree 4. Option B: f (x) = x4 − 4x3 +5x2 − 2 This is also a polynomial function of degree 4. Option C: f (x) = x4 − 4x3 +3x2 + 8x − 10 This is again …

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 + …

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 …

May 12, 2020 · Which statement describes the graph of f (x) = −4x3 − 28x2 − 32x + 64? A. The graph crosses the x-axis at x = 4 and touches the x-axis at x = -1. B. The graph ...

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 …

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) = −4− 12 = −16 …