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Mathematics: AA HL

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Mathematics: AA HL

Available time 20 Minute(s)

Consider the polynomial equation.

Functions

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Available time 20 Minute(s)

01. Question

Level Medium

Maximum Mark 7

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Consider the equation $3 x^{3} - 27 x^{2} + 214 x - 36 = 0$ .

(a).

(i) Find the sum of the roots of this equation.

[Marks: 1]

(ii) Find product of the roots of this equation.

[Marks: 1]

(b). The roots of this equation are three consecutive terms of an arithmetic sequence such that the roots are $a - d, a, a + d,$

Find the value of d.

[Marks: 5]

$5$

$\sqrt{5}$

$\sqrt{3}$

$3$

End Test