19. When multiplying a binom ial by a trinor ial is the degree of the product

When you multiply a binomial (which has a degree of 1) by a trinomial (which has a degree of 2), the degree of the resulting product is the maximum degree from both polynomials added together. So, 1 + 2 = 3! This means the product will be a polynomial of degree 3, displaying all the exciting complexities of a cubic polynomial.

In the world of algebra, think of multiplying a binomial by a trinomial as expanding your mathematical universe! For instance, if you take (x + 2)(x² + x + 3), you’re not just combining numbers and variables; you’re creating a cubic landscape filled with new terms. Just remember to combine like terms after distributing, and voila! You’ve got yourself a beautiful polynomial expression.