4. Modeling with Quadratic Functions
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Is there a GCF between all of the terms in the given expression? If not, think of the process as multiplying two binomials in reverse.
(x+1)(x+3)
Factor Constants | Product of Constants |
---|---|
1 and 3 | 3 |
-1 and -3 | 3 |
Next, let's consider the coefficient of the linear term. x^2+4x+3 For this term, we need the sum of the factors that produced the constant term to equal the coefficient of the linear term, 4.
Factors | Sum of Factors |
---|---|
1 and 3 | 4 |
-1 and -3 | -4 |
Distribute (x + 1)
Distribute x
Identity Property of Multiplication
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