Algebra-1

To factor the quadratic expression x²+19x+84, we need to find two numbers that multiply to 84 (the constant term) and add up to 19 (the coefficient of x)

Let's find the factors of 84:

84=2×42=2×2×21=2×2×3×7=2²×3×7

The pairs of factors that add up to 19 are 7 and 12.

Therefore, we can factor x²+19x+84 as:(x+7)(x+12)

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