Question

Divide the polynomial using Synthetic equation(x^2 4x+4)÷(x 2)

Answer 1

To divide the polynomial (x^2 + 4x + 4) by (x + 2) using synthetic division, follow the step-by-step process and obtain the quotient (x + 2) and a remainder of 0.

Step-by-step explanation:

To divide the polynomial (x^2 + 4x + 4) by (x + 2) using synthetic division, follow these steps:

1. Arrange the dividend coefficients in descending order (x^2 + 4x + 4).
2. Write down the divisor coefficient with a different sign (x + 2).
3. Bring down the leading coefficient (x^2).
4. Multiply the divisor coefficient by the current term (2 * x^2 = 2x^2) and write it below the next term.
5. Add the two terms (4x + 2x^2 = 2x^2 + 4x).
6. Repeat steps 4 and 5 until every term has been evaluated.
7. The last term should be the remainder.

The result of the division will be the quotient (x + 2) and the remainder 0.