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, …

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 …

Nov 10, 2020 · To find the solutions of the quadratic equation 3x2 − 10x + 5 = 0 using the quadratic formula, we start by identifying the coefficients from the standard form of a quadratic equation, which …

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 …

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 …

Dec 13, 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 2, 2019 · To simplify the expression (3x2−2x+2)− (x2+5x−5), you'd start by distributing the negative sign through the second parentheses. Doing so gives us 3x^2 - 2x + 2 - x^2 - 5x + 5.

To factor the trinomial 3x2 − 5x + 2, we need to find two binomials that, when multiplied together, give us the original expression. In this case, we start with the general form of the factors: (ax + b)(cx + d) …

Nov 23, 2015 · The factor of the polynomial 3x2 + 4x − 4 is 3x −2, found by using the method of splitting the middle term and factoring. Therefore, the chosen option is C. (3x − 2).

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.