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.

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 …

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 + …

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 …

Oct 20, 2023 · To find the product of (4x3+2x2) (6x−9), distribute the terms and combine like terms to simplify the expression.

Aug 18, 2020 · The simplest form of the expression (4x3 + 6x − 7) + (3x3 − 5x2 − 5x + 9) is 7x3 − 5x2 +x +2. This is achieved by combining the like terms from both parts of the expression.

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 …

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) …

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. …

Mar 17, 2017 · Explanation To write the polynomial −3x + 4x3 + 6 in standard form, we need to rearrange the terms in descending order of their exponents.