Question

10. Error Analysis Alicia divided the polynomial

2x³-4x² + 6x + 10 by x2 + x. Describe and
correct the error Alicia made in dividing the
polynomials.

Answer 1

To divide the polynomial 2x³-4x² + 6x + 10 by x² + x, Alicia should have used long division. By following the steps of long division correctly, we can find the correct answer.

Step-by-step explanation:

When dividing the polynomial 2x³-4x² + 6x + 10 by x² + x, we must use long division. Here's how:

1. Start by dividing the first term of the dividend (2x³) by the first term of the divisor (x²). The result is 2x.
2. Multiply the entire divisor (x² + x) by the result we obtained in step 1 (2x) to get 2x³ + 2x².
3. Subtract the obtained polynomial (2x³ + 2x²) from the original dividend (2x³-4x² + 6x + 10). The result is -6x² + 6x + 10.
4. Repeat steps 1 to 3 with the new polynomial (-6x² + 6x + 10) until the degree of the polynomial is lower than the degree of the divisor.
5. The final result of the division is the quotient obtained in each step.

Therefore, Alicia's error was likely due to not following the steps of long division correctly. By correcting the process and following the steps, we can find the correct answer.

Learn more about Dividing polynomials