Question

Розкладіть на множники квадратний тричлен 1)x²-4x-32 2)4x²-15x+9

Answer 1

${x}^{2} - 4x - 32 = {x}^{2} + 4x - 8x - 32 = ({x}^{2} + 4x) -( 8x + 32) = x(x + 4) - 8(x + 4) = (x + 4)(x - 8) \\ 4x {}^{2} - 15x + 9 = 4x {}^{2} - 3x - 12x + 9 = (4x {}^{2} - 3x) -( 12x - 9) = x(4x - 3) - 3(4x - 3) = (4x - 3)(x - 3)$