Nov 19, 2024 · To find f (−2) for the function f (x) = 3x2 − 2x + 7, we need to substitute x = −2 into the function and simplify the expression step-by-step. Here is how we do it:

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, 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 …

Dec 14, 2020 · The area of a rectangle is expressed through multiplication of its length and width. Among the provided polynomial options, option b, 3x2 − 5, represents this area without introducing …

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 …

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

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, …

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 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 …

Mar 13, 2018 · The volume of a rectangular prism is (x3-3x2+5x-3), and the area of its base is (x -2). If the volume of a rectangular prism is the product of its base area and height, what is the height of the …