Solve 2x² + 5x + 3 = (2x + 3)(x + 1)

Problem

$2x^2 + 5x + 3$

Step-by-step solution

Identifikasi $a = 2$ , $b = 5$ , $c = 3$ . Hitung $ac = 6$ .
Cari dua bilangan yang hasil kalinya $6$ dan jumlahnya $5$ : $(2, 3)$ .
Pecah suku tengah: $2x^2 + 2x + 3x + 3$ .
Faktorkan dengan pengelompokan: $2x(x + 1) + 3(x + 1) = (2x + 3)(x + 1)$ .

Answer

$(2x + 3)(x + 1)$

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