Question

A boat is traveling at a velocity represented by : 2x^3-10x^2+72x3−10x2+7. At the same time, current is pushing the boat in the same direction with a velocity given by : 5x^3+19x^2+4x5x3+19x2+4x. What is the total traveling velocity of the boat?

Answer 1

7x^3 +9x^2 +4x +7

Explanation:

The total velocity is represented by the sum of the two polynomials:

(2x^3-10x^2+7) + (5x^3+19x^2+4x) = x^3·(2+5) +x^2·(-10+19) +4x +7

... = 7x^3 +9x^2 +4x +7