IITM BS Question 6 - Week 4 Practice

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IITM BS Question 6 - Week 4 Practice | Prasnya

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Q6Single correct3 Marks11 Dec 2022

The polynomial

p(x) = a_n x^n + a_{n-1} x^{n-1} + \dots + a_0

has the following properties: -

p(x)

is an odd degree polynomial with at least three distinct roots. -

p(x)

has exactly two positive real roots. -

(x - 5)^2

is a factor of

p(x)

. -

p(0) \neq 0

Choose the best possible representations of

p(x)

00:00

11 Dec 2022

Mathematics 1 · Week 4

Q6.The polynomial

p(x) = a_n x^n + a_{n-1} x^{n-1} + \dots + a_0

has the following properties: -

p(x)

is an odd degree polynomial with at least three distinct roots. -

p(x)

has exactly two positive real roots. -

(x - 5)^2

is a factor of

p(x)

. -

p(0) \neq 0

Choose the best possible representations of

p(x)

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