Test Details

Polynomials 3

Dec 21, 11:55 AM

100 minutes

Dec 21, 12:00 PM

100.0 marks

MCQ

50 questions

Kanu Da

Abhijit Mondal, BSC In Chemistry Honors From Ramakrishna Mission Residential College, Narendrapur. BE In Mechanical Engineering From Indian Institute Of Engineering Science And Technology, Shibpur. Expert in Mathematics, Mechanical Engineering and SCIENCE

Class Details

MATHEMATICS

Science

Basic Engineering

RRB JE, ALP, Technician

MATHEMATICS

Science

Basic Engineering

Eligible criteria for ALP and Technician - 12th pass with ITI, or Diploma /Btech in Mechanical or in Electrical. For ALP should be physically fit and eye 6/6. RRB JE - Diploma or Btech in Mechanical Engineering.

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Question Text

Question 2 :
The remainder when $x^3 + 3x^2 + 3x + 1$ is divided by $x+\pi$ is-

Question 8 :
State true or false: $(x+y+z)^2 = x^2 + y^2 + z^2 + 2xy + yz + 2zx$.

Question 11 :
State true or false: 7 + 3x is a factor of $3x^3 + 7x$.

Question 13 :
The remainder when $x^3 + 3x^2 + 3x + 1$ is divided by x + 1 is-

Question 14 :
Does $x^4 + x^3 + x^2 + x + 1$ has x+1 as a factor -

Question 15 :
the remainder when $x^3 – ax^2 + 6x – a$ is divided by x – a.

Question 18 :
If p(x) is a polynomial of degree $ n \geq 1$ and a is any real number, then which of the following statements is(are) correct?

Question 20 :
What is the value of p(0) for the polynomial $p(t)=2+t+2t^2-t^3$ ?

Question 23 :
The remainder when $x^3 + 3x^2 + 3x + 1$ is divided by $x-\frac{1}{2}$ is-

Question 25 :
State true or false: $(x + y)^3 = x^3 + y^3 + 3xy (x + y)$.

Question 28 :
A zero of the polynomial p(x) = 2x + 1 is-

Question 30 :
What is the value of p(1) for the polynomial $p(x) = (x – 1) (x + 1)$ ?

Question 32 :
Possible expressions for the length and breadth of rectangle having Area :$ 25a^2 – 35a + 12$ are-

Question 33 :
Possible expressions for the length and breadth of rectangle having Area :$ 35y^2 + 13y –12$ are-

Question 39 :
Is $x+2$ a factor of $p(x) = x^3 + 3x^2 + 3x + 1$-

Question 40 :
Factors of $4x^2+ 9y^2 + 16z^2 + 12xy – 24yz – 16xz$ are-

Question 46 :
Is $x=-1,2$ a zero of $p(x) = (x + 1) (x – 2)$?

Question 47 :
The zero of the polynomial p(x) = 2x + 5 is-

Question 49 :
State true or false: A polynomial can have any (finite) number of terms

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