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2.3 test (11/25/25) factor: 1. $x^{2}+8x + 15$

Question

2.3 test (11/25/25)
factor:

  1. $x^{2}+8x + 15$

Explanation:

Step1: Find pair of factors for 15

Look for two numbers that multiply to $15$ and add to $8$: $3$ and $5$ (since $3 \times 5 = 15$ and $3 + 5 = 8$).

Step2: Rewrite as factored binomials

Express the quadratic as a product of two linear binomials using the found numbers.

Answer:

$(x+3)(x+5)$