Factor. y^2 + 4y + 3 ____

Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is y^2 + 4y + 3. Here, the coefficient of y^2 (a) is 1, the coefficient of y (b) is 4, and the constant term (c) is 3.Find Multiplying Numbers: Determine two numbers that multiply to c (3) and add up to b (4). We need to find two numbers that multiply together to give 3 and add together to give 4. The numbers 1 and 3 satisfy these conditions because 1 * 3 = 3 and 1 + 3 = 4.Write Factored Form: Write the factored form using the two numbers found. Since the numbers we found are 1 and 3, the factored form of the quadratic expression y^2 + 4y + 3 is (y + 1)(y + 3).

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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y^2 + 4y + 3

Identify Coefficients: Identify the coefficients of the quadratic expression. $\newline$ The quadratic expression is $y^2 + 4y + 3$ . Here, the coefficient of $y^2$ ( $a$ ) is $1$ , the coefficient of $y$ ( $b$ ) is $4$ , and the constant term ( $c$ ) is $3$ .
Find Multiplying Numbers: Determine two numbers that multiply to $c (3)$ and add up to $b (4)$ . We need to find two numbers that multiply together to give $3$ and add together to give $4$ . The numbers $1$ and $3$ satisfy these conditions because $1 \times 3 = 3$ and $1 + 3 = 4$ .
Write Factored Form: Write the factored form using the two numbers found. $\newline$ Since the numbers we found are $1$ and $3$ , the factored form of the quadratic expression $y^2 + 4y + 3$ is $(y + 1)(y + 3)$ .