Use synthetic division to solve (2x3+4x2 – 35x+15) +(x-3). What is the quotient? O 2x2–2x-29+
102
X+ 3
102
O 2x2 - 2x-29+
X-3
2x + 10x2 - 6x
2x2 + 10x-5

Given:

To find:

The quotient by using the synthetic division.

Solution:

We have,

Here,

Dividend =

Divisor =

The coefficient of dividend are . Write the coefficients of the dividend on the top row and we need to use 3 as divisor for synthetic division. The synthetic division is show below:

The bottom row represents the coefficients of quotient but the last element of bottom row is the remainder.

Degree of dividend is 3 and degree of division is 1. So, the degree of quotient must be .

The quotient is and the reminder is 0.

Therefore, the correct option is D.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.