Nov 1, 2022 · The expression −3x2 + 12x can be factored as −3x(x − 4). This is done by finding the greatest common factor, which is −3x, and factoring it out. The result can be verified by distributing …

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 …

Oct 6, 2020 · To complete the division where the quotient is given as 3x2 + _x + _, we need to identify the polynomial that is being divided. Polynomial long division allows us to divide one polynomial by …

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 …

Nov 1, 2016 · For instance, the equation y = 3x2 − 6x + 3 has a discriminant of zero, indicating it touches the x-axis once, while y = 3x2 − 7x + 1 and y = 3x2 − 4x − 2 have positive discriminants, …

Mar 24, 2021 · The function given is y=3x2+7x+2, which is a quadratic function. Quadratic functions can be represented graphically as parabolas. Domain and Range: The domain of a quadratic function is …

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 …

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

Dec 14, 2020 · d. 3x2 − 8x − 5 From the options, we should look for a polynomial that clearly reflects a multiplication of two binomials (representing length and width). 3x2 indicates a parabolic relation …

(a) To find the equation of the tangent line to the curve defined by the equation y2 = x3 + 3x2 at the point (1, 2), we first need to calculate the derivative of the curve.