Long and Synthetic Division Remote Learning Assignment

Front

What is Long Division in algebra?

Back

Long Division is a method used to divide polynomials by breaking down the division process into simpler steps, similar to numerical long division.

Front

What is Synthetic Division?

Back

Synthetic Division is a simplified form of polynomial division, used specifically when dividing by linear factors of the form (x - c). It is faster and requires less writing than long division.

Front

How do you set up Long Division for polynomials?

Back

1. Write the dividend (the polynomial being divided) under the long division symbol. 2. Write the divisor (the polynomial you are dividing by) outside the symbol. 3. Divide the leading term of the dividend by the leading term of the divisor.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that when a polynomial f(x) is divided by (x - c), the remainder of that division is f(c).

Front

What is the Factor Theorem?

Back

The Factor Theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.

Front

Back

Front

Back

Front

Back

Front

Back

Front

How do you perform Synthetic Division with the polynomial (x^3 - 3x^2 - 10x + 24) ÷ (x + 3)?

Back