SOLVING CUBIC EQUATIONS WORKSHEET

Problem 1 :

Solving x³ + 9x² - x - 9 = 0 we get the following roots

(a) ± 1,-9     (b) ±1, ±9      (c) ±1, 9      (d) None

Solution

Problem 2 :

The solution of the cubic equation x³ - 6x² + 11 x - 6 = 0 is given by the triplet

(a) (-1, 1, -2)    (b) (1, 2, 3)      (c) (-2, 2, 3)     (d) (0, 4, -5)

Solution

Problem 3 :

For the given polynomial 

x³ - 2x² - 5x + 6

If 3 is one of the zeroes, find the others.

Solution

Problem  4 :

Is x = 4 a root of the equation x³ − 6x² + 9x + 1 = 0?.

Solution

Problem 5 :

Find a polynomial function P(x) of degree 3 with real coefficients that satisfies the given conditions.

Zeros of -3, -1, and 4; P(2) = 5

Solution