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Algebra 2 Section 6.5 Day 1 The Remainder & Factor Theorems: Synthetic Division Learning Target : I can divide polynomials and relate the result to the remainder theorem and factor theorem. [A.SSE.2 & A.APR.2] Let's review: Dividing by a monomial: Dividing by a binomial using factoring : 2. 1.

The Remainder & Factor Theorems: Synthetic Division · 11/6/2018  · The Remainder & Factor Theorems: Synthetic Division Learning Target: I can divide polynomials and relate the

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Page 1: The Remainder & Factor Theorems: Synthetic Division · 11/6/2018  · The Remainder & Factor Theorems: Synthetic Division Learning Target: I can divide polynomials and relate the

Algebra 2 Section 6.5 Day 1

The Remainder & Factor Theorems:Synthetic Division

Learning Target: I can divide polynomials and relate the result to the remainder

theorem and factor theorem. [A.SSE.2 & A.APR.2]

Let's review:

Dividing by a monomial:

Dividing by a binomial using factoring:

2.1.

Page 2: The Remainder & Factor Theorems: Synthetic Division · 11/6/2018  · The Remainder & Factor Theorems: Synthetic Division Learning Target: I can divide polynomials and relate the

What if factoring is not possible?

Method 1: Long division

Method 2: Synthetic Division

- can use synthetic as long as divisor (what you are dividing by) is a binomial in the form of x - c.

REPEAT!

OR

Page 3: The Remainder & Factor Theorems: Synthetic Division · 11/6/2018  · The Remainder & Factor Theorems: Synthetic Division Learning Target: I can divide polynomials and relate the

1.

Divide.

2.

Page 4: The Remainder & Factor Theorems: Synthetic Division · 11/6/2018  · The Remainder & Factor Theorems: Synthetic Division Learning Target: I can divide polynomials and relate the

3. (x3 - x2 + 8x) ÷ (x + 2)

4. (3x3 + 13x2 + 2x - 8) ÷ (x + 4)

Page 5: The Remainder & Factor Theorems: Synthetic Division · 11/6/2018  · The Remainder & Factor Theorems: Synthetic Division Learning Target: I can divide polynomials and relate the

HW: 6.5 Day 1 WS

Page 6: The Remainder & Factor Theorems: Synthetic Division · 11/6/2018  · The Remainder & Factor Theorems: Synthetic Division Learning Target: I can divide polynomials and relate the

MUST SHOW WORK!!!