1 point Suppose fT a The roots of fr are a root is repeated
(1 point) Suppose f(T) (a) The roots of f(r) are a root is repeated, enter it only once.) help (numbers (If
Solution
1) f(x) = x^4*(7 – 9x^2)
Roots are =====> x = 0, +0.882, -0.882
2) y = x^4 – 2x^2 - 15
x = 2.24, -2.24, +1.732 i, -1.732 i
3) f(x) = (5 – 6x)(3x – 3)^2
= (5 – 6x)(9x^2 + 9 – 18x)
f(x) = (-54x^3 + 153x^2 – 144x + 45)
Degree = 3
Leading coefficient = -54
Constant = 45
4) Roots are ===> x = 1, 0.83, 0.999
5) f(x) = (4 - x)(x + 3)(9x + 3)^2
= -81x^4 + 27x^3 + 1017x^2 + 657x + 108 = 0
Degree = 4
Leading = -81
Constant = 108
6) Roots are ======> x = -1/3, -1/3, -3, 4
