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.

Rational root theorem is used to determine the possible root of a function. -7/8 is a potential rational root of f (x) = 24x7 + 3x6 + 4x3 −x −28 We have: f (x) = 24x7 + 3x6 +4x3 − x −28 The …

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? …

Sep 16, 2022 · To rewrite the expression 20 − 4x3 using a common factor, we first need to identify any common factors in the terms. In this case, we can factor out 4 from the expression …

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 …

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 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 …

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 …

Sep 17, 2019 · The equation 4x³ = 36x can be factored to find its solutions. The solutions are x = 0, x = -3, and x = 3. These come from setting each factor equal to zero and solving for x.