Factor. y^2 + 6y + 8 ____

Identify Variables: Identify a, b, and c in the quadratic expression y^2 + 6y + 8. The quadratic expression is in the form y^2 + by + c, where a = 1, b = 6, and c = 8.Find Multiplying Numbers: Find two numbers that multiply to c (which is 8) and add up to b (which is 6). We need to find two numbers that multiply to 8 and add up to 6. The numbers 2 and 4 satisfy these conditions because 2 * 4 = 8 and 2 + 4 = 6.Write Factored Form: Write the factored form using the two numbers found in Step 2. The factored form of the quadratic expression is (y + 2)(y + 4), since these are the binomials that give us the original expression when multiplied out.

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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 + 6y + 8

Identify Variables: Identify $a$ , $b$ , and $c$ in the quadratic expression $y^2 + 6y + 8$ . The quadratic expression is in the form $y^2 + by + c$ , where $a = 1$ , $b = 6$ , and $c = 8$ .
Find Multiplying Numbers: Find two numbers that multiply to $c$ (which is $8$ ) and add up to $b$ (which is $6$ ). $\newline$ We need to find two numbers that multiply to $8$ and add up to $6$ . The numbers $2$ and $4$ satisfy these conditions because $2 \times 4 = 8$ and $2 + 4 = 6$ .
Write Factored Form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(y + 2)(y + 4)$ , since these are the binomials that give us the original expression when multiplied out.