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Consider the quadratic x^2+8x+15

1 Answer

5 votes

Answer:

(x + 3)(x + 5)

Explanation:

Assuming you require the expression factored.

Given

x² + 8x + 15

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)

The factors are + 3 and + 5, since

3 × 5 = 15 and 3 + 5 = 8 , thus

x² + 8x + 15 = (x + 3)(x + 5) ← in factored form

answered
User James Bennett
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