Вправи: 458

458. Розклади на множники тричлен.

a) x² + 4x + 3 = (x² + x) + (3x + 3) = x(x + 1) + 3(x + 1) = (x + 1)(x + 3);

б) x² + 6x + 8 = (x² + 2x) + (4x + 8) = x(x + 2) + 4(x + 2) = (x + 2)(x + 4);

в) x² – 4x + 3 = (x² – x) – (3x – 3) = x(x – 1) – 3(x – 1) = (x – 1)(x – 3);

г) x² + 3x – 10 = (x² – 2x) + (5x – 10) = x(x – 2) + 5(x – 2) = (x – 2)(x + 5).