Question

How should a student find the product of a binomial and a trinomial?

Answer 1

To find the product of a binomial and a trinomial, you can use the distributive property. Multiply each term in the binomial by each term in the trinomial and then combine like terms.

Step-by-step explanation:

To find the product of a binomial and a trinomial, you can use the distributive property. You multiply each term in the binomial by each term in the trinomial, and then combine like terms. Here's an example:

(x + 2)(3x^2 + 4x + 5)

1. Multiply x with each term in the trinomial: x * 3x^2 = 3x^3 and x * 4x = 4x^2.
2. Multiply 2 with each term in the trinomial: 2 * 3x^2 = 6x^2, 2 * 4x = 8x, and 2 * 5 = 10.
3. Combine like terms: 3x^3 + 6x^2 + 4x^2 + 8x + 10.
4. Simplify the expression, if needed.