The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height …

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 …

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 …

May 4, 2022 · The expression 3x2 − 10x + 8 can be factored as (x − 2)(3x − 4). This involves finding two numbers that multiply to the product of the leading coefficient and the constant while summing to the …

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 …

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, …

Apr 25, 2017 · To determine which of the given polynomials is prime, we first need to understand what a prime polynomial is. A prime polynomial is one that cannot be factored into lower-degree polynomials …

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 …

Mar 24, 2017 · Dividing the polynomial 36x3 − 96x2 + 48x by 12x results in 3x2 − 8x +4. The answer is option A. This can be found by dividing each term of the polynomial by 12x.

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 …