IITM BS Question 27 - Week 4 Practice

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IITM BS Question 27 - Week 4 Practice | Prasnya

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Q27Multiple correct4 Marks16 Oct 2022

The polynomial

p(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_0

has the following properties:

p(x)

is an even degree polynomial.

p(x)

has at least one positive real root and at least one negative real root.

(x+4)^2

is a factor of

p(x)

p(0)\ne0

. From the options given, choose the possible representations of

p(x)

Q27

00:00

16 Oct 2022

Mathematics 1 · Week 4

Q27.The polynomial

p(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_0

has the following properties:

p(x)

is an even degree polynomial.

p(x)

has at least one positive real root and at least one negative real root.

(x+4)^2

is a factor of

p(x)

p(0)\ne0

. From the options given, choose the possible representations of

p(x)

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