Question

Find all zeros of the polynomial function b(x)=x3-4x2-3x+12

Answer 1

`x^3-4x^2-3x+12=0\\\\x^2\big(x-4\big)-3\big(x-4\big)=0\\\\\big(x^2-3\big)\big(x-4\big)=0\\\\\big(x-√(3)\big)\big(x+√(3)\big)\big(x-4\big)=0\\\\\\\boxed{x=√(3)\qquad\vee\qquad x=-√(3)\qquad\vee\qquad x=4}`