To determine the end behavior of the function f (x) = x5 − 8x4 + 16x3, we need to look at the leading term, which is x5. This term dominates the behavior of the function as x approaches both positive …

Mar 21, 2025 · Identify the Greatest Common Factor (GCF): The coefficients 16 and 54 share a common factor. The greatest common factor in this case is 2. We can factor this out first: …

1. The graph of the function f (x) = 3x 4 − 16x 3 + 18x 2 −1 ≤ x ≤ 4 is shown in the figure. You can see that f (1) = ______ is a local maximum whereas the absolute maximum is f (_____) = (______) . …

To solve the given linear system of equations using a matrix approach, we first represent the equations in matrix form. The system we have is: 100x1 +130x2 + 16x3 120x1 +180x2 + 28x3 160x1 +190x2 + …

Mar 26, 2025 · To solve the problem of dividing the polynomial 4x+116x3−x2−x−2 using polynomial long division, let's go through the process step-by-step: Set up the division problem: You have the …

Mar 20, 2025 · The difference of the expression (16x3 + 2x2) − 4x3 simplifies to 12x3 + 2x2. This is done by subtracting the like terms and combining any remaining terms. The final answer combines …

May 18, 2019 · To determine the end behavior of the function f (x = 8 16, we first need to observe the leading term, which is . This is an odd-degree polynomial, and the end behavior of such polynomials …

Apr 28, 2023 · The process of combining like terms is a common algebraic method used in simplifying expressions, where coefficients of the same variable terms are added or subtracted, confirming that …

The expression 16x3 + 16x2 − 9x − 9 can be factored completely as (4x − 3)(4x + 3)(x + 1). This is done by grouping the terms, factoring by grouping, and then factoring a difference of squares. Following …

Jan 23, 2025 · The correct simplification of the expression (8x −5)(2x2 − 5x − 6) is 16x3 − 50x2 − 23x + 30. This corresponds to option A in the choices provided. By distributing and combining like terms …