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 …

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 − 72x2 + …

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 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 …

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 a polynomial …

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) = −4− 12 …

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.

Jul 23, 2017 · The remainder when dividing the polynomial 4x3 +2x2 − 18x + 38 by x + 3 is 2. This is found using the Remainder Theorem by evaluating the polynomial at x = −3. Therefore, the correct …

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 terms …

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.