https://file.aiquickdraw.com/mathbot/file/1730251489603pa3byofr.jpg

To solve this polynomial long division problem, let’s divide the polynomial:

\[
-10x^2 + 4x^3 + 3 \quad \text{by} \quad x^2 - 2x + 1
\]

### Step-by-Step Solution

1. **Arrange terms in standard form**: Rewrite the dividend in descending order of powers:
   \[
   4x^3 - 10x^2 + 0x + 3
   \]

2. **Divide the leading terms**:
   Divide \(4x^3\) by \(x^2\) to get \(4x\).

3. **Multiply and subtract**:
   - Multiply \(4x\) by \(x^2 - 2x + 1\):
     \[
     4x \cdot (x^2 - 2x + 1) = 4x^3 - 8x^2 + 4x
     \]
   - Subtract this result from the current

Divide (-10x^2 + 4x^3 + 3) by (x^2 - 2x + 1) using polynomial long division.

Learn how to solve the polynomial division problem by dividing (-10x^2 + 4x^3 + 3) by (x^2 - 2x + 1). This problem demonstrates the polynomial long division process and includes the calculation of both the quotient and the remainder. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation