Chapter 4, Problem 1CR

To determine

To write the letter of the correct answer.

Answer to Problem 1CR

The required solution is , $\left(x^3-3x^2-2x+5\right)-\left(x^2-2x+2\right)=x^3-4x^2+3$

Opyion C.

Explanation of Solution

Given information:The equation is , $\left(x^3-3x^2-2x+5\right)-\left(x^2-2x+2\right)$ .

Concept used: Subtracting Polynomial.

To subtract one polynomial from another, add the opposite of each term of the polynomial you’re subtracting.

Calculation: The required solution is obtained as,

  $\begin{array}{l}\left(x^3-3x^2-2x+5\right)-\left(x^2-2x+2\right)\\ =x^3-3x^2-2x+5-x^2+2x-2\\ =x^3+\left(-3x^2-x^2\right)+\left(-2x+2x\right)+\left(5-2\right)\\ =x^3-4x^2+3\end{array}$

Hence, the required solution is , $\left(x^3-3x^2-2x+5\right)-\left(x^2-2x+2\right)=x^3-4x^2+3$

Option C.