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Factorise x2 + 4x + 3

1 Answer

13 votes

Answer:

(x + 1)(x + 3)

Explanation:

Given

x² + 4x + 3

Consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (+ 4)

The factors are + 1 and + 3, since

1 × 3 = 3 and 1 + 3 = 4, then

x² + 4x + 3 = (x + 1)(x + 3)

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