Question

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?

Answer 1

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