Разложите на множители трехчлен:
1) $x^2 + 4x + 3$;
2) $x^2 - 10x + 16$;
3) $x^2 + 3x - 18$;
4) $x^2 - 4x - 32$.
$x^2 + 4x + 3 = x^2 + 3x + x + 3 = (x^2 + 3x) + (x + 3) = x(x + 3) + (x + 3) = (x + 3)(x + 1)$
$x^2 - 10x + 16 = x^2 - (8x + 2x) + 16 = x^2 - 8x - 2x + 16 = (x^2 - 8x) - (2x - 16) = x(x - 8) - 2(x - 8) = (x - 8)(x - 2)$
$x^2 + 3x - 18 = x^2 + (6x - 3x) - 18 = x^2 + 6x - 3x - 18 = (x^2 + 6x) - (3x + 18) = x(x + 6) - 3(x + 6) = (x + 6)(x - 3)$
$x^2 - 4x - 32 = x^2 - (8x - 4x) - 32 = x^2 - 8x + 4x - 32 = (x^2 - 8x) + (4x - 32) = x(x - 8) + 4(x - 8) = (x - 8)(x + 4)$
Пожауйста, оцените решение
