In mathematics, the term which is being divided is called a dividend. The term by which the dividend is getting divided is called a divisor. The quotient is the term we get after dividing the dividend by a divisor.

Here in this case, the dividend is written.

-x² x x

which in the equation form is written as

-x² + x + x

add the x terms to simplify

-x² + 2x

The divisor is given as x, divide the equation by x:

(-x² + 2x)/x

(-x²/x) + (2x/x)

-x+2

Which is the quotient.

4 0

3 years ago

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

Kisachek [45]

Answer:

$35x - \frac{9x^2}{2} + C$

Step-by-step explanation:

The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.

Thus 35 - 9x becomes $35x - \frac{9x^2}{2} + C$ . We add a constant C for any possible constant that was eliminated during differentiation.

4 0

3 years ago