EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR SAT>Chapter 12 - Polynomials>SAT 2019>Q 1

MEDIUM

NTSE Stage II

IMPORTANT

Earn 100

Let $P (x)$ be a polynomial of degree $3$ and $P (n) = \frac{1}{n}$ for $n = 1, 2, 3, 4$ . Then the value of $P (5)$ is

50% studentsanswered this correctly

Important Questions on Polynomials

MEDIUM

NTSE Stage II

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR SAT>Chapter 12 - Polynomials>SAT 2019>Q 2

{(x + 1)}^{4}

is divided by

(x - 1)^{3}

. Then, the value of the remainder at

x = 1

is

MEDIUM

NTSE Stage II

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR SAT>Chapter 12 - Polynomials>SAT 2020>Q 3

If

(a x + b) (x^{5} + 1) - (5 x + 1)

is divisible by

x^{2} + 1

, then the value of

2 a + 3 b

is

HARD

NTSE Stage II

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR SAT>Chapter 12 - Polynomials>SAT 2021>Q 4

For real numbers

p, q

and

a

, if the polynomial

x^{3} - 3 p x + 2 q

is divisible by the polynomial

x^{2} + 2 a x + a^{2}

, then which
of the following is correct?