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 these points. This …

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 open. The …

Jul 21, 2021 · The polynomial 2x2 −3x + 4x3 + 6 in standard form is 4x3 + 2x2 − 3x +6. Therefore, the correct answer is option B. This arrangement orders the polynomial from the term with the highest …

Factor the polynomial completely. 4x3–12x2 + 7x–21 4x2(x–3) +7(x–3) Which is the completely factored polynomial?

Aug 26, 2024 · To approximate the expression (4x3 + 5)(3x6 − 8x2)(3x6 − 8x2) + 4x2 +13 using the first and last terms, we will focus on identifying the significant terms in the polynomial.

Sep 16, 2020 · A 4x3 matrix is defined by its dimensions: it has 4 rows and 3 columns. The first number in the designation (4) represents the number of rows, while the second number (3) represents the …

Feb 26, 2018 · The polynomial 4x3 + 8x2 − 25x −50 can be factored completely as (x +2)(2x −5)(2x + 5). The correct answer from the given choices is C. (2x − 5)(2x + 5)(x + 2).

Apr 27, 2025 · The subtraction of the polynomial (4x3 − 6x2 − x +7) from (−7x3 − 7x2 + 6x − 2) results in −11x3 − x2 + 7x − 9. This corresponds to option D.

Feb 15, 2022 · The greatest common factor of the polynomial 8x4 − 4x3 − 18x2 is 2x2. This is obtained by determining the GCF of the coefficients (2) and the smallest exponent of the variable (2). …

May 13, 2024 · Answer: To find the asymptotes of the curve defined by the equation −4x3 − x2y − 4xy2 +y2 + 3x2 + 2xy +y2 − 7 = 0, we first need to analyze the behavior of the curve as x and y approach …