Question

obtain all zeroes if -2 is a zero of the polynomial x^3 + 13x^2 + 32x + 20

Answer 1

Step-by-step explanation:

$x + 2 \: divides \: polynomial {x}^{3} + {13x}^{2} + 32x + 20 \\ \\ then \: \: we \: find \: that \: \\ {x}^{2} + 11x + 10 \\ {x}^{2} + 10x + 1x + 10 \\ x(x + 10) + 1(x + 10) \\ x + 10 = 0 \: \: \: \: \: x + 1 = 0 \\ x = - 10 \: \: x = - 1$