Sep 27, 2017 · To find the values of m for which the graph of the equation y = 3x2 + 7x + m has two x-intercepts, we need to determine when the quadratic equation has two real solutions.

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 …

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.

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 …

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 …

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 …

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, …

To solve the equation 3x = 7x −3, 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 = 2a−b ± b2 …

Nov 8, 2023 · To determine the number of real solutions of the quadratic equation 3x2 + 6x - 42 = 0, we can use the discriminant. The discriminant is the part of the quadratic formula under the square root …

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 …