Разложите квадратный трехчлен на множители x(в квадрате)-x-56 3x(в квадрате)-11x-14 4y(в квадрате)-7y+1

Квадратный трехчлен раскладывается по формуле ax^2 + bx + c = a(x – x1)(x – x2).1) x^2 – x – 56 = 0;D = b^2 – 4ac;D = (-1)^2 – 4 * 1 * (-56) = 1 + 224 = 225; √D = 15;x = (-b ± √D)/(2a);x1 = (1 + 15)/2 = 16/2 = 8;x2 = (1 – 15)/2 = -14/2 = - 7;x^2 – x – 56 = (x – 8)(x + 7).2) 3x^2 - 11x – 14 = 0;D = b^2 – 4ac;D = (-11)^2 – 4 * 3 * (-14) = 121 + 168 = 289; √D = 17;x = (-b ± √D)/(2a);x1 = (11 + 17)/6 = 28/6 = 14/3 = 4 2/3;x2 = (11 – 17)/6 = -6/6 = - 1;3x^2 - 11x – 14 = = 3(x – 14/3)(x + 1) = (3x – 14)(x + 1).3) 4y^2 - 7y + 1 = 0;D = b^2 – 4ac;D = (-7)^2 – 4 * 4 * 1 = 49 – 16 = 33; √D = √33;x = (-b ± √D)/(2a);x1 = (7 + √33)/8;x2 = (7 - √33)/8;4y^2 - 7y + 1 = 4(x - (7 + √33)/8)(x - (7 - √33)/8) = (2x - (7 + √33))/4)(2x - (7 - √33)/4)) = (8x – 7 - √33)(8x – 7 + √33).