Question

verify that 1 -1 and -3 are the zeros of the cubic polynomial x cube + 3 x square minus x minus 3 and check the relationship between zeros and the coefficients

Answer 1

$x {}^{3 } + 3x {}^{2} - x - 3 = 0 \\ when \: x = 1 \\ 1 + 3 - 1 - 3 = 0 \\ 0 = 0 \\ when \: x = - 1 \\ - 1 + 3 + 1 - 3 = 0 \\ 0 = 0 \\ when \: x = - 3 \\ - 27 + 27 + 3 - 3 = 0 \\ 0 = 0 \\ \\ hope \: it \: helped \: you \:$