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 13, 2018 · 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 …

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 …

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 …

Mar 3, 2021 · The simplified form of the expression 2x − 3x2 + 8x + 7 is −3x2 + 10x +7. The coefficients that fill in the missing values are −3, 10, and 7.

Dec 7, 2016 · This means that in the polynomial equation 0 = 2+ 3x2 − 5x, the values for the coefficients and constant term are determined appropriately in the standard quadratic form.

Dec 14, 2016 · To solve the equation = x, we first rearrange it into standard form. Start by moving all terms to one side: 3x2 − 7x +3 = 0 Next, we can use the quadratic formula to find the solutions: x = …

Dec 13, 2017 · Using the conjugate root theorem, we know the other root must be 1−i. So, the polynomial has the roots: The polynomial function of lowest degree with lead coefficient 1 and the …

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 …