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Chapter 5: Problem 30

Factor. $$y^{2}+4 y+3$$

Short Answer

Expert verified
The factorized form of the quadratic \(y^{2}+4 y+3\) is \((y+1)(y+3)\).

Step by step solution

01

Set Up the Problem

Write down the given quadratic \(y^{2}+4 y+3\). The aim is to factorize this quadratic into the product of two binomials.
02

Find Two Numbers

Find two numbers that both add up to 4 (the coefficient of y) and multiply to 3 (the constant term). These two numbers are 1 and 3, because \(1 + 3 = 4\) and \(1 * 3 = 3\).
03

Write the Factorized Form

Write the quadratic in its factorized form using the two numbers found in step 2. The factorized form of the quadratic \(y^{2}+4 y+3\) is then \((y+1)(y+3)\).

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