7.8 Factor Completely by Factoring by Grouping DAY ONE with work 1 Feb 53:41 PM 7.8 Factor Polynomials Completely (by Grouping) Essential Question: How can you factor a polynomial completely? Factoring Polynomials by Grouping You have used the Distributive Property to factor out a greatest common monomial from a polynomial. Sometimes, you can factor out a common binomial. You may be able to use the Distributive Property to factor polynomials with four terms, as described below. CORE CONCEPT: Factoring by Grouping To factor a polynomial with four terms, group the terms into pairs. Factor the GCF out of each pair of terms. Look for and factor out the common binomial factor. This process is called factoring by grouping.
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7.8 Factor Completely by Factoring by Grouping DAY ONE with work
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Feb 53:41 PM
7.8 Factor Polynomials Completely (by Grouping)Essential Question: How can you factor a polynomial completely?
Factoring Polynomials by GroupingYou have used the Distributive Property to factor out a greatest common monomial from a polynomial. Sometimes, you can factor out a common binomial. You may be able to use the Distributive Property to factor polynomials with four terms, as described below.
CORE CONCEPT: Factoring by GroupingTo factor a polynomial with four terms, group the terms into pairs. Factor the GCF out of each pair of terms. Look for and factor out the common binomial factor. This process is called factoring by grouping.
7.8 Factor Completely by Factoring by Grouping DAY ONE with work
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Feb 53:48 PM
1) How do you factor 2 terms? Factor out the overall _____ (reverse distribute) then look for ______________________.
a) 5x2 + 25 b) x2 100 c) x2 + 36
2) How do you factor 3 terms? Overall ____ then reverse _________. Keep in mind special products.
a) x2 7x + 6 b) 2x2 20x + 50
3) Explain the difference between x2 7x + 6 and x2 7x + 6 = 0
4) How do you factor 4 terms? Let's find out! (Freshman I know the excitement is building but stay calm!)
GCFdifference of perfect squares
GCFFOIL
Feb 54:00 PM
DISCOVERING how to Factor 4 terms:
First multiply a binomial by a binomial by double distributing? Let's double distribute:
(2a + 7x)(3m + 4z)
Now how could you take that final product and inverse the process to get our 2 starting binomial factors?
7.8 Factor Completely by Factoring by Grouping DAY ONE with work
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Feb 54:04 PM
Factor 4 terms by a process called "Factor by Grouping"Examples:
Feb 54:08 PM
a) x3 + 4x2 2x 8 b) x2 + 4y 2x 2xy
Your Turn:
7.8 Factor Completely by Factoring by Grouping DAY ONE with work
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Feb 54:13 PM
Red Flag on power of 4Factor:
(a) 3x3 + 6x2 18x (b) 7x4 28x2
Solve:
(c) 2x3 + 8x2 = 10x
Feb 54:14 PM
RealLife Application
7.8 Factor Completely by Factoring by Grouping DAY ONE with work
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7.8 DAY ONE Assignment
7.8 DAY ONE WS
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