Do Now Write the standard form of an
- Slides: 15
Do Now: Write the standard form of an equation of a line passing through (4, 3) with a slope of -2. Write the equation in standard form with integer coefficients y = -1/3 x - 4
Do Now: Worksheet – Match the correct bottle with its graph
Factoring Using the Distributive Property GCF and Factor by Grouping
1) Factor GCF of 12 a 2 + 16 a 12 a 2 = ¡ 16 a = ¡ Use distributive property
PRIME POLYNOMIALS A POLYNOMIAL IS PRIME IF IT IS NOT THE PRODUCT OF POLYNOMIALS HAVING INTEGER COEFFICIENTS. TO FACTOR A PLYNOMIAL COMPLETLEY, WRITE IT AS THE PRODUCT OF • MONOMIALS • PRIME FACTORS WITH AT LEAST TWO TERMS
TELL WHETHER THE POLYNOMIAL IS FACTORED COMPLETELY 2 X 2 + 8 = 2(X 2 + 4) YES, BECAUSE X 2 + 4 CANNOT BE FACTORED USING INTEGER COEFFICIENTS 2 X 2 – 8 = 2(X 2 – 4) NO, BECAUSE X 2 – 4 CAN BE FACTORED AS (X+2)(X-2)
Using GCF and Grouping to Factor a Polynomial ¡ ¡ ¡ First, use parentheses to group terms with common factors. Next, factor the GCF from each grouping. Now, Distributive Property…. Group both GCF’s. and bring down one of the other ( ) since they’re both the same.
Using GCF and Grouping to Factor a Polynomial ¡ ¡ ¡ First, use parentheses to group terms with common factors. Next, factor the GCF from each grouping. Now, Distributive Property…. Group both GCF’s. and bring down one of the other ( ) since they’re both the same.
Using GCF and Grouping to Factor a Polynomial ¡First, use parentheses to group terms with common factors. ¡Next, factor the GCF from each grouping. ¡Now, Distributive Property…. Group both GCF’s. and bring down one of the other ( ) since they’re both the same.
Using the Additive Inverse Property to Factor Polynomials. ¡ When factor by grouping, it is often helpful to be able to recognize binomials that are additive inverses. l l 7 – y is ¡y – 7 ¡ By rewriting 7 – y as -1(y – 7) 8 – x is ¡x – 8 ¡ By rewriting 8 – x as -1(x – 8)
Factor using the Additive Inverse Property.
Factor using the Additive Inverse Property.
There needs to be a + here so change the minus to a +(-15 x) • Now group your common terms. • Factor out each sets GCF. • Since the first term is negative, factor out a negative number. • Now, fix your double sign and put your answer together.
There needs to be a + here so change the minus to a +(-12 a) • Now group your common terms. • Factor out each sets GCF. • Since the first term is negative, factor out a negative number. • Now, fix your double sign and put your answer together.
Summary ¡ A polynomial can be factored by grouping if ALL of the following situations exist. l l l There are four or more terms. Terms with common factors can be grouped together. The two common binomial factors are identical or are additive inverses of each other.
- Now i see it now you don't
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