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Factoring Part 2. Notice that both parts of the binomial are squared when expanding. How did we get the middle term?. How did we get the middle term? Two times, the product of the two terms. Using this pattern what should go in the blank of the example?. What should the next answer be?. - PowerPoint PPT Presentation
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Factoring Part 2
Notice that both parts of the binomial are squared when
expanding.
How did we get the middle term?
How did we get the middle term?Two times, the product of the two
terms.
Using this pattern what should go in the blank of the example?
What should the next answer be?
If you FOIL’ed this, the OUTER and INNER would have canceled out.
If you FOIL’ed this, the OUTER and INNER would have canceled out.
By noticing the “pattern” it saves you time.
GREATEST common factors
What is the GCF of the following?
a) 2, 6
b) 25, 40
c) 6, 14
d) 18, 32
GREATEST common factors
What is the GCF of the following?
a) 2, 6 2
b) 25, 40
c) 6, 14
d) 18, 32
GREATEST common factors
What is the GCF of the following?
a) 2, 6 2
b) 25, 40 5
c) 6, 14
d) 18, 32
GREATEST common factors
What is the GCF of the following?
a) 2, 6 2
b) 25, 40 5
c) 6, 18 6
d) 18, 32
GREATEST common factors
What is the GCF of the following?
a) 2, 6 2
b) 25, 40 5
c) 6, 18 6
d) 16, 36 4
GREATEST common factors
What is the GCF of the following?
a) x, x2
b) x2, x3
c) xy, x2y
d) 2x3, 8x2
GREATEST common factors
What is the GCF of the following?
a) x, x2 x
b) x2, x3
c) xy, x2y
d) 2x3, 8x2
GREATEST common factors
What is the GCF of the following?
a) x, x2 x
b) x2, x3 x2
c) xy, x2y
d) 2x3, 8x2
GREATEST common factors
What is the GCF of the following?
a) x, x2 x
b) x2, x3 x2
c) xy, x2y xy
d) 2x3, 8x2
GREATEST common factors
What is the GCF of the following?
a) x, x2 x
b) x2, x3 x2
c) xy, x2y xy
d) 2x3, 8x2 2x2
Find the GCF for each polynomial
a) 2x + 4y
b) 5a – 5b
c) 18x – 6y
d) 2m + 6mn
e) 5p2q – 10pq
Find the GCF for each polynomial
a) 2x + 4y 2
b) 5a – 5b
c) 18x – 6y
d) 2m + 6mn
e) 5p2q – 10pq
Find the GCF for each polynomial
a) 2x + 4y 2
b) 5a – 5b 5
c) 18x – 6y
d) 2m + 6mn
e) 5p2q – 10pq
Find the GCF for each polynomial
a) 2x + 4y 2
b) 5a – 5b 5
c) 18x – 6y 6
d) 2m + 6mn
e) 5p2q – 10pq
Find the GCF for each polynomial
a) 2x + 4y 2
b) 5a – 5b 5
c) 18x – 6y 6
d) 2m + 6mn 2m
e) 5p2q – 10pq
Find the GCF for each polynomial
a) 2x + 4y 2
b) 5a – 5b 5
c) 18x – 6y 6
d) 2m + 6mn 2m
e) 5p2q – 10pq 5pq
Factor out the GCF for each polynomial
a) 2x + 4y
b) 5a – 5b
c) 18x – 6y
d) 2m + 6mn
e) 5p2q – 10pq
Find the GCF for each polynomial
a) 2x + 4y 2(x + 2y)
b) 5a – 5b
c) 18x – 6y
d) 2m + 6mn
e) 5p2q – 10pq
Find the GCF for each polynomial
a) 2x + 4y 2(x + 2y)
b) 5a – 5b 5(a – b)
c) 18x – 6y
d) 2m + 6mn
e) 5p2q – 10pq
Find the GCF for each polynomial
a) 2x + 4y 2(x + 2y)
b) 5a – 5b 5(a – b)
c) 18x – 6y 6(3x – y)
d) 2m + 6mn
e) 5p2q – 10pq
Find the GCF for each polynomial
a) 2x + 4y 2(x + 2y)
b) 5a – 5b 5(a – b)
c) 18x – 6y 6(3x – y)
d) 2m + 6mn 2m(1 + 3n)
e) 5p2q – 10pq
Find the GCF for each polynomial
a) 2x + 4y 2(x + 2y)
b) 5a – 5b 5(a – b)
c) 18x – 6y 6(3x – y)
d) 2m + 6mn 2m(1 + 3n)
e) 5p2q – 10pq 5pq(p + 2)
What is the difference between “find the GCF” and “factor out the
GCF”?
What is the difference between “find the GCF” and “factor out the
GCF”?
Find means tell what the terms have in common.
Factor out means you need the GCF times the remaining parts.
