Final answer:
To find the expression that, when multiplied by the monomial 1.6x results in the product 4.8x² + 1.6xy, divide the product term-by-term by the monomial to get 3x + y.
Step-by-step explanation:
The question at hand involves multiplying a monomial with an expression to get a specified product. Given the product 4.8x² + 1.6xy and the monomial 1.6x, we want to find the missing expression that when multiplied by 1.6x results in the given product.
To find this expression, we will divide the product by the monomial:
- Divide each term in the product by the monomial 1.6x.
- The first term becomes 3x because 4.8x² divided by 1.6x is 3x.
- The second term simplifies to 1 because 1.6xy divided by 1.6x is y.
The resulting expression is 3x + y, which is what we were looking for.