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. Thus, the correct answer is 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 …

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 …

Jul 19, 2020 · The graph of f (x) = 4x3 − 13x2 + 9x + 2 is shown below. On a coordinate plane, a function is shown. The function starts from the bottom of quadrant 3 and goes up through the x …

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. …

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 …

Feb 20, 2023 · The inverse of the function f (x) = 4x3 − 2 is f −1(x) = 21 3 x + 2. This was found by interchanging the variables and solving for y. The verification step can confirm that this is …

Jul 9, 2025 · 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? …

Jan 23, 2025 · 4x3 + 9xy + 8y 3x3 + 5xy − 8y We need to subtract the second polynomial from the first polynomial. Align Similar Terms: When subtracting polynomials, make sure to subtract like …

Nov 7, 2023 · To find the product of the polynomials (4x3+2x2)(6x−9), we will use the distributive property, also known as the FOIL method when multiplying binomials. Here’s the step-by-step …