The polynomial function represented by the graph can be identified by solving for the zeros of each given function. If the graph has zeros at x = 2 and x = 4, the answer is f (x) = 3x^2 - 18x + 24 (option …

Dec 14, 2020 · The area of a rectangle is expressed through multiplication of its length and width. Among the provided polynomial options, option b, 3x2 − 5, represents this area without introducing …

Jul 14, 2016 · The solutions to the equation 3x2 − 12x + 24 = 0 are 2 + 2i and 2− 2i. This shows that the roots are complex numbers due to a negative discriminant. Therefore, the answer can be expressed …

Apr 2, 2018 · The multiplication of the expressions (x4 + 1)(3x2 + 9 + 2) results in 3x6 + 9x5 + 2x4 + 3x2 + 9 + 2. This was achieved by distributing each term correctly and combining the results. The final …

Nov 1, 2016 · The equation that generates a curve that does not touch the x-axis is y = 3x2 − 2x + 1. This is identified by calculating the discriminants for each equation. The only one with a negative …

Examples & Evidence For instance, if we had the polynomials (3x2 +2x) + (4x2 − x + 5), we would combine 3x2 + 4x2 = 7x2, 2x − x = x, and the constant 5 to give us 7x2 + x + 5. When adding …

Apr 9, 2020 · The function that represents the data in the table is y = 3x² + 2, as it matches a typical quadratic pattern found in similar datasets. The other options either represent linear or constant …

Jan 21, 2025 · The graph of the function f (x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options. The vertex is the maximum value.

Oct 2, 2024 · Thus, the expression 3x2 − 11x + 8 factors completely to (x − 1)(3x − 8). Therefore, the correct answer from the options provided is: (x − 1)(3x − 8). For example, if we factor another …

Mar 6, 2019 · The expression 3x2 − 12 can be factored as 3(x − 2)(x + 2) by first factoring out the greatest common factor and then recognizing the difference of squares. The initial factorization 3(x2 …