Find the roots of x³ - 19x - 30=0

Correct Answer is : 5, -3 and -2

Correct Answer is : 5, -3 and -2

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JAMB Mathematics 2024 Paper

Question : 41

Total: 50

^3

- 19x - 30=0

Solution:

x $^3$ - 19x - 30

test x = 5

^3

−19(5) − 30 = 125 − 95 − 30 = 0

(x - 5) is a factor.

x $^3$ - 19x - 30 divided by (x - 5) = x $^2$ + 5x + 6

factorizing x $^2$ + 5x + 6, we have (x+2)(x+3)

(x+2)(x+3)(x - 5) = 0

x = -2, -3, and 5.

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