Warm Up. Algebra 3 Chapter 6 Lesson 4 Factoring and Solving Polynomial Equations.

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Presentation transcript:

Warm Up

Algebra 3 Chapter 6 Lesson 4 Factoring and Solving Polynomial Equations

VOCAB

CUBES NumberCubed

Keep in Mind I’m trying to make this as easy as possible… I’m breaking this lesson into 3 easy parts – It could’ve been 4 but I believe we can do the zeros part already (we’ve done it in the past)

Warm Up

Algebra 3 Chapter 6 Lesson 4 Factoring and Solving Polynomial Equations

Special Cases

Directions (Specials) Figure out what a and b are USE the awesome formula Reduce Set equal to zero (to find zeros) Solve

I DO (Specials)

WE DO (Specials)

YOU DO (Specials)

Question How do you know its going to be a sum or difference of cubes?

Review Today you learned how to factor a cube

Homework Worksheet – 6.4B (1 – 12)

Warm Up

Algebra 3 Chapter 6 Lesson 4 Factoring and Solving Polynomial Equations

Factor By Grouping Look at the first 2 terms – Factor it Set equal to zero Solve

I DO (Grouping)

WE DO (Grouping)

YOU DO (Grouping)

Review Today you learned how to factor polynomials by grouping

Homework 6.4B (13 – 24)

Warm Up

Algebra 3 Chapter 6 Lesson 4 Factoring and Solving Polynomial Equations

Factor By Grouping Look at the first 2 terms – Factor it Set equal to zero Solve

I DO (Grouping)

WE DO (Grouping)

YOU DO (Grouping)

Review Today you learned how to factor polynomials by grouping

Homework 6.4B (13 – 24)

Warm Up

Algebra 3 Chapter 6 Lesson 5 The Remainder and Factor Theorems

VOCAB

Directions (Long Division) THIS IS EXACTLY LIKE LONG DIVISION WITHOUT A CALCULATOR Write the problem in standard form including the missing terms Look at the first term in the divisor – Find how many times that goes into the first term of the polynomial Multiply that answer times the WHOLE divisor Subtract that from the polynomial Keep going until you can’t do anymore Remainder is then written over the divisor

I DO (Long Division)

Warm Up

Algebra 3 Chapter 6 Lesson 5 The Remainder and Factor Theorems

Directions (Long Division) THIS IS EXACTLY LIKE LONG DIVISION WITHOUT A CALCULATOR Write the problem in standard form including the missing terms Look at the first term in the divisor – Find how many times that goes into the first term of the polynomial Multiply that answer times the WHOLE divisor Subtract that from the polynomial Keep going until you can’t do anymore Remainder is then written over the divisor

We Do (Long Division)

You Do (Long Division)

Review What did you learn to do today?

Homework Worksheet – 6.5B (1 – 8)

Warm Up

Algebra 3 Chapter 6 Lesson 5 The Remainder and Factor Theorems

Question Does anyone know when you can use synthetic division? – Hint look at vocab

Directions (Synthetic Division) THIS IS EXACTLY LIKE SYNTHETIC SUBSTITUTION Write the problem in standard form including the missing terms Only Write down the coefficients inside For the outside – Remember to take the opposite of the number ANSWER – YOU start with 1 power less than the original

I DO (Synthetic Division)

We Do (Synthetic Division)

You Do (Synthetic Division)

Review Today you learned how to divide polynomials using synthetic substitution

Homework Worksheet – 6.5B (9 - 16)

Warm Up

Algebra 3 Chapter 6 Lesson 5 The Remainder and Factor Theorems

Directions (Finding Zero’s) Do synthetic Division of the function using the given zero Set the answer equal to zero Solve

I DO (Finding Zero’s)

WE DO (Finding Zero’s)

YOU DO (Finding Zero’s)

Review Today what did you learn?

Homework Worksheet – 6.5B (17 – 20)