Question Express as a trinomial. \[ (3 x-5)(x-2) \] Answer Attempt 1 out of 2

To express the given expression as a trinomial, you'll want to apply the distributive property (often called the FOIL method for binomials): 1. Multiply the first terms: \(3x \cdot x = 3x^2\). 2. Multiply the outer terms: \(3x \cdot -2 = -6x\). 3. Multiply the inner terms: \(-5 \cdot x = -5x\). 4. Multiply the last terms: \(-5 \cdot -2 = 10\). Now, combine these results: \[ 3x^2 - 6x - 5x + 10 = 3x^2 - 11x + 10. \] So, the trinomial is \(3x^2 - 11x + 10\). When you're multiplying binomials, it's common to lose track of signs or combine like terms incorrectly. A handy tip is to write each step down and combine after all terms are calculated. This way, you're less likely to make mistakes! For further insight, exploring resources on polynomial multiplication, such as Khan Academy or math-focused YouTube channels, can help visualize the process and reinforce your understanding with practice problems. Happy learning!