1. Chapter 7
Factoring

2. A General Approach to Factoring
7.4
A General Approach to Factoring

3. 7.4 A General Approach to Factoring
Factoring a Polynomial
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4. 7.4 A General Approach to Factoring
Factoring Out a Common Factor
This step is always the same, regardless of the number of terms in the polynomial.
Factor each polynomial.
(a)
(b)
(c)
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5. 7.4 A General Approach to Factoring
Factoring Binomials
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6. 7.4 A General Approach to Factoring
Factoring Binomials
Use one of the rules to factor each binomial if possible.
(a)
(b)
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7. 7.4 A General Approach to Factoring
Factoring Binomials
Use one of the rules to factor each binomial if possible.
(c)
(d)
is prime.
It is the sum of squares.
The binomial 25m is the sum of squares. It can be factored, however as 25(m2 + 25) because it has a common factor, 25.
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8. 7.4 A General Approach to Factoring
Factoring Trinomials
Factor each trinomial.
(a)
(b)
(c)
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9. 7.4 A General Approach to Factoring
Factoring Trinomials
Factor each trinomial.
(d)
(e)
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10. 7.4 A General Approach to Factoring
Factoring Polynomials with More than Three Terms
Factor each polynomial. Consider factoring by grouping.
(a)
(b)
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11. 7.4 A General Approach to Factoring
Factoring Polynomials with More than Three Terms
Factor each polynomial. Consider factoring by grouping.
(a)