(a) Given that, f(x) = x³ + 3x² + 5x + 9, (i) Show that there is at least one root in the interval [-3,–2] (ii) Using the Newton Raphson method, taking x1 -2.5, find x2 correct to 3 decimal places.

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can you help me with this please, i dont understand :(

(a) Given that, f(x) = x³ + 3x² + 5x + 9,
(i) Show that there is at least one root in the interval [-3,–2]
(ii) Using the Newton Raphson method, taking x1
-2.5, find x2 correct to 3 decimal places.
Transcribed Image Text:(a) Given that, f(x) = x³ + 3x² + 5x + 9, (i) Show that there is at least one root in the interval [-3,–2] (ii) Using the Newton Raphson method, taking x1 -2.5, find x2 correct to 3 decimal places.
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