The weight of a car is modeled with the polynomial x2 + 10x + 200. The weight of a x3 + x + 100. Which polynomial represents the total weight of the car and truck?

The combined weight of a car and truck is given as the polynomial P (W) = x³ + x² + 11 x + 300

Step-by-step explanation:

The weight of the car is given as:

P (C) = x² + 10 x + 200

The weight of the truck is given as:

P (T) = x³ + x + 100

Now, the combined weight of both vehicles is given as

= Weight of Car P (C) + Weight of Truck P (T)

P (W) = x² + 10 x + 200 + x³ + x + 100

= x³ + x² + (10 x + x) + (200 + 100)

= x³ + x² + 11 x + 300

⇒ The combined weight of a car and truck is given as the polynomial P (W) = x³ + x² + 11 x + 300