A)p(x)= x(x+2)(x-4)
b)p(x)=(x+2)^3(x-1)
what is the question?
a) To find the roots of the polynomial p(x) = x(x+2)(x-4), we set p(x) equal to zero and solve for x. This polynomial is factored, so we can find the roots by setting each factor equal to zero:
Setting x = 0, we get x = 0.
Setting x + 2 = 0, we get x = -2.
Setting x - 4 = 0, we get x = 4.
Therefore, the roots of p(x) = x(x+2)(x-4) are x = 0, x = -2, and x = 4.
b) To find the roots of the polynomial p(x) = (x+2)^3(x-1), we follow the same method as above:
Setting x + 2 = 0, we get x = -2.
Setting x - 1 = 0, we get x = 1.
Therefore, the roots of p(x) = (x+2)^3(x-1) are x = -2 and x = 1.