ZADANIE 1. Rozłóż wielomian na czynniki: a) x3+8x2+7x , b)x4+3x3-10x2 , c)x3+2x2-x , d)-8x3+1 , e)9x4+6x3+x2 , f)x4-1

ZADANIE 1. Rozłóż wielomian na czynniki: a) x³+8x²+7x = x³ + x² + 7x² + 7x = x²(x + 1) + 7x(x + 1) = (x + 1)(x² + 7x) b)x4+3x³-10x² = x²(x² + 3x - 10) c)x³+2x²-x = x³ + x² + x² - x = x²(x + 1) + x(x - 1) = (x + 1)(x -1)(x² + x) d)-8x³+1 = (-2x)³ + 1³ e)9x4+6x3+x2 = x²(9x² +6x + 1) f)x4-1 = x4 - (1)^4