Final answer:
The mathematical expression for the product of m(x) = x² + 4x and n(x) = x is x³ + 4x², obtained by multiplying each term of m(x) by n(x).
Step-by-step explanation:
To find the mathematical expression for m(x) = x² + 4x multiplied by n(x) = x, we use the distributive property of multiplication over addition. The distributive property allows us to multiply each term of the first expression by the second expression. Applying this property, we get:
m(x) × n(x) = (x² + 4x) × x = x³ + 4x²
Here, x² is multiplied by x to give x³, and 4x is multiplied by x to give 4x². Therefore, the final expression for the product of m(x) and n(x) is x³ + 4x².
To find the mathematical expression for m(x) = x² + 4x multiplied by n(x) = x, we can multiply the two expressions together:
m(x) * n(x) = (x² + 4x) * x
Using the distributive property, we can simplify the expression:
m(x) * n(x) = x³ + 4x²