May 1, 2023 · The greatest common factor of 12x2 +18x −12 is 6. The expression can be factored as 6(2x − 1)(x + 2). This was confirmed by multiplying the factored form back to check if it …

Aug 4, 2022 · The function f (x) = 12x2 is a quadratic function, and since it contains an x2 term, we know that it is a polynomial of even degree (degree 2). Also, the leading coefficient (12 in …

Feb 26, 2020 · To factor the expression −3x3 +12x2 completely, we start by finding the greatest common factor (GCF) of the terms in the expression. The GCF of −3x3 and 12x2 is −3x2.

Jan 10, 2019 · The expression that represents the total perimeter of the triangular community pool is 12x2 + 8x + 25. This expression combines quadratic, linear, and constant terms, …

Jul 11, 2025 · To determine the factors of the polynomial x3−12x2−2x+24 by grouping, we will analyze each of the options provided and expand them to see which one matches the original …

Nov 5, 2018 · To analyze the function f (x) = x4 + 4x3 −12x2 − 32x + 64, we calculate its derivative to find critical points, then apply the second derivative test to determine the nature of …

Feb 18, 2019 · The trinomial 12x2 −32x − 12 factors to 4(3x +1)(x −3). We started by factoring out the GCF and then factored the resulting quadratic by grouping. This gives us the final …

Jun 17, 2019 · To solve the equation 12x2 + 5x − 4 = 122x +6, we will first simplify and rearrange the equation. Start by simplifying 122: 122 = 144. This gives us: 12x2 + 5x − 4 = 144x +6 Now, …

Dec 6, 2023 · The graph representing f (x) = −12x2 is a downward-opening parabola with its vertex at the point (0,0). The negative coefficient indicates that as x moves away from 0, the …

Dec 16, 2024 · To simplify the expression 12x2, follow these steps: Factor the Expression Inside the Square Root: Start with 12x2. Break down 12 into its prime factors: 12 = 4 ×3 = 22 ×3. So, …