This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Okay Mfu, let's continue with these factoring problems. 3.3 To factorize the trinomial x^2 + 9x + 20, Julie can follow these 3 easy steps: Step 1: Find two numbers that multiply to the constant term (20) and add up to the coefficient of the middle term (9). The two numbers are 4 and 5, because 4 × 5 = 20 and 4 + 5 = 9. Step 2: Rewrite the middle term (9x) using these two numbers. x^2 + 4x + 5x + 20 Step 3: Factor by grouping. Group the first two terms and the last two terms, then factor out the greatest common factor (GCF) from each group. (x^2 + 4x) + (5x + 20) x(x + 4) + 5(x + 4) Now, factor out the common binomial factor (x + 4). (x + 4)(x + 5) The factored expression is (x + 4)(x + 5). 3.4.1 Let's complete the table by identifying the common factor and writing the trinomial with the common factor factored out. | Trinomial | What is the common factor? | Write the trinomial with the Common Factor factored out. | | :-------------------- | :------------------------- | :------------------------------------------------------- | | 2x^2 + 10x + 12 | 2 | 2(x^2 + 5x + 6) | | -5a^2 - 15a - 10 | -5 | -5(a^2 + 3a + 2) | | c^3 - 8c^2 + 15c | c | c(c^2 - 8c + 15) | 3.4.2 Here are the explanations for the mathematical steps to factorize 3x^3 - 3x^2 - 90x: | Step | Mathematical steps | Explanation ✂️ _That answer was long and got cut off. Reply continue and I'll finish it._