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Recent questions tagged polynomials
4
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1
GATE CH 2023 | GA Question: 9
The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to___________. $33$ $-3$ $30$ $21$
admin
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in
Quantitative Aptitude
May 21, 2023
by
admin
882
views
gatech-2023
quantitative-aptitude
polynomials
0
votes
0
answers
2
Best Open Video Playlist for Polynomials Topic | Quantitative Aptitude
Please list out the best free available video playlist for Polynomials from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. You ... ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
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Study Resources
Aug 26, 2022
by
makhdoom ghaya
110
views
missing-videos
free-videos
go-classroom
video-links
polynomials
3
votes
1
answer
3
NIELIT 2016 MAR Scientist B - Section C: 21
A polynomial $p(x)$ is such that $p(0)=5, \: p(1)=4, \: p(2)=9$ and $p(3)=20$. The minimum degree it can have is $1$ $2$ $3$ $4$
Lakshman Bhaiya
asked
in
Set Theory & Algebra
Mar 31, 2020
by
Lakshman Bhaiya
770
views
nielit2016mar-scientistb
engineering-mathematics
functions
polynomials
0
votes
0
answers
4
Michael Sipser Edition 3 Exercise 3 Question 21 (Page No. 190)
Let $c_{1}x^{n} + c_{2}x^{n-1} + \dots + c_{n}x + c_{n+1}$ be a polynomial with a root at $x = x_{0}.$ Let $c_{max}$ be the largest absolute value of a $c_{i}.$ Show that $\mid x_{0} \mid < (n+1)\frac{c_{max}}{\mid c_{1} \mid}.$
Lakshman Bhaiya
asked
in
Theory of Computation
Oct 15, 2019
by
Lakshman Bhaiya
153
views
michael-sipser
theory-of-computation
turing-machine
polynomials
proof
1
vote
1
answer
5
ISI2015-MMA-12
Consider the polynomial $x^5+ax^4+bx^3+cx^2+dx+4$ where $a,b,c,d$ are real numbers. If $(1+2i)$ and $(3-2i)$ are two two roots of this polynomial then the value of $a$ is $-524/65$ $524/65$ $-1/65$ $1/65$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
719
views
isi2015-mma
quantitative-aptitude
number-system
polynomials
roots
non-gate
1
vote
1
answer
6
ISI2018-DCG-10
Let $f’(x)=4x^3-3x^2+2x+k,$ $f(0)=1$ and $f(1)=4.$ Then $f(x)$ is equal to $4x^4-3x^3+2x^2+x+1$ $x^4-x^3+x^2+2x+1$ $x^4-x^3+x^2+2(x+1)$ none of these
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
355
views
isi2018-dcg
calculus
differentiation
polynomials
1
vote
0
answers
7
ISI2018-DCG-11
The sum of $99^{th}$ power of all the roots of $x^7-1=0$ is equal to $1$ $2$ $-1$ $0$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
369
views
isi2018-dcg
quantitative-aptitude
polynomials
roots
5
votes
2
answers
8
GATE2018 EE: GA-3
The three roots of the equation $f(x) = 0$ are $x = \{−2, 0, 3\}$. What are the three values of $x$ for which $f(x − 3) = 0?$ $−5, −3, 0$ $−2, 0, 3$ $0, 6, 8$ $1, 3, 6$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Feb 20, 2018
by
Lakshman Bhaiya
2.0k
views
gate2018-ee
general-aptitude
quantitative-aptitude
easy
polynomials
4
votes
2
answers
9
GATE2018 CH: GA-9
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$? $1$ $5$ $7$ $9$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Feb 20, 2018
by
Lakshman Bhaiya
1.1k
views
gate2018-ch
quantitative-aptitude
easy
polynomials
1
vote
0
answers
10
Combinatorics : Multinomial Coefficients
What's the relationship between combination and polynomial equation? I mean, I am not able to grasp certain points here or let's say connect them into a whole: 1. Take a question where it's asked that we have to arrange 10 ... way of doing probability's tricky questions. EDIT: Here's the images of different questions. How do I differentiate between them?
Vasu Srivastava
asked
in
Combinatory
Jun 24, 2017
by
Vasu Srivastava
902
views
combinatory
discrete-mathematics
engineering-mathematics
polynomials
2
votes
1
answer
11
ISI 2004 MIII
$Q10$ The equation $p\left ( x \right ) = \alpha$ where $p\left ( x \right ) = x^{4}+4x^{3}-2x^{2}-12x$ has four distinct real root if and only if $p\left ( -3 \right )<\alpha$ $p\left ( -1 \right )>\alpha$ $p\left ( -1 \right )<\alpha$ $p\left ( -3 \right )<\alpha <p\left ( -1 \right )$
Tesla!
asked
in
Set Theory & Algebra
Apr 3, 2017
by
Tesla!
489
views
isi2004
polynomials
6
votes
2
answers
12
ISI2004-MIII
The equation $\frac{1}{3}+\frac{1}{2}s^{2}+\frac{1}{6}s^{3}=s$ has exactly three solution in $[0.1]$ exactly one solution in $[0,1]$ exactly two solution in $[0,1]$ no solution in $[0,1]$
Tesla!
asked
in
Set Theory & Algebra
Apr 3, 2017
by
Tesla!
622
views
isi2004
polynomials
2
votes
1
answer
13
ISI 2004 MIII
$Q8$ If $\alpha_{1},\alpha_{2},\alpha_{3}, \dots , \alpha_{n}$ be the roots of $x^{n}+1=0$, then $\left ( 1-\alpha_{1} \right )\left ( 1-\alpha_{2} \right ) \dots \left ( 1-\alpha_{n} \right )$ is equal to $1$ $0$ $n$ $2$
Tesla!
asked
in
Set Theory & Algebra
Apr 3, 2017
by
Tesla!
438
views
isi2004
polynomials
5
votes
2
answers
14
ISI2004-MIII: 7
The equation $x^{6}-5x^{4}+16x^{2}-72x+9=0$ has exactly two distinct real roots exactly three distinct real roots exactly four distinct real roots six different real roots
Tesla!
asked
in
Set Theory & Algebra
Apr 3, 2017
by
Tesla!
1.7k
views
isi2004
polynomials
maxima-minima
1
vote
1
answer
15
ISI 2004 MIII
If the equation $x^{4}+ax^{3}+bx^{2}+cx+1=0$ (where $a,b,c$ are real number) has no real roots and if at least one of the root is of modulus one, then $b=c$ $a=c$ $a=b$ none of this
Tesla!
asked
in
Set Theory & Algebra
Apr 3, 2017
by
Tesla!
343
views
isi2004
polynomials
39
votes
5
answers
16
GATE CSE 2017 Set 2 | Question: 24
Consider the quadratic equation $x^2-13x+36=0$ with coefficients in a base $b$. The solutions of this equation in the same base $b$ are $x=5$ and $x=6$. Then $b=$ _____
khushtak
asked
in
Set Theory & Algebra
Feb 14, 2017
by
khushtak
14.2k
views
gatecse-2017-set2
polynomials
numerical-answers
set-theory&algebra
15
votes
5
answers
17
GATE CSE 1987 | Question: 1-xxii
The equation $7x^{7}+14x^{6}+12x^{5}+3x^{4}+12x^{3}+10x^{2}+5x+7=0$ has All complex roots At least one real root Four pairs of imaginary roots None of the above
makhdoom ghaya
asked
in
Calculus
Nov 9, 2016
by
makhdoom ghaya
2.7k
views
gate1987
calculus
polynomials
4
votes
2
answers
18
ISRO2009-48
The cubic polynomial $y(x)$ which takes the following values: $y(0)=1, y(1)=0, y(2)=1$ and $y(3)=10$ is $x^3 +2x^2 +1$ $x^3 +3x^2 -1$ $x^3 +1$ $x^3 -2x^2 +1$
go_editor
asked
in
Numerical Methods
Jun 15, 2016
by
go_editor
1.9k
views
isro2009
polynomials
20
votes
2
answers
19
GATE CSE 2016 Set 1 | Question: GA09
If $f(x) = 2x^{7}+3x-5$, which of the following is a factor of $f(x)$? $\left(x^{3}+8\right)$ $(x - 1)$ $(2x - 5)$ $(x + 1)$
Sandeep Singh
asked
in
Quantitative Aptitude
Feb 12, 2016
by
Sandeep Singh
4.3k
views
gatecse-2016-set1
quantitative-aptitude
polynomials
normal
0
votes
1
answer
20
Mock Test 2016 GA
bahirNaik
asked
in
Quantitative Aptitude
Jan 14, 2016
by
bahirNaik
395
views
test-series
quantitative-aptitude
polynomials
2
votes
0
answers
21
TIFR-2014-Maths-B-6
The number of irreducible polynomials of the form $x^{2}+ax+b$, with $a, b$ in the field $\mathbb{F}_{7}$ of $7$ elements is: 7 21 35 49
makhdoom ghaya
asked
in
Set Theory & Algebra
Dec 17, 2015
by
makhdoom ghaya
337
views
tifrmaths2014
polynomials
non-gate
1
vote
1
answer
22
TIFR-2011-Maths-B-9
Let $P$ be a degree $3$ polynomial with complex coefficients such that the constant term is $2010$. Then $P$ has a root $\alpha$ with $|\alpha| > 10$.
makhdoom ghaya
asked
in
Set Theory & Algebra
Dec 10, 2015
by
makhdoom ghaya
498
views
tifrmaths2011
polynomials
1
vote
2
answers
23
TIFR-2011-Maths-A-16
The polynomial $x^{4}+7x^{3}-13x^{2}+11x$ has exactly one real root.
makhdoom ghaya
asked
in
Set Theory & Algebra
Dec 9, 2015
by
makhdoom ghaya
685
views
tifrmaths2011
polynomials
2
votes
1
answer
24
TIFR-2011-Maths-A-11
For any real number $c$, the polynomial $x^{3}+x+c$ has exactly one real root.
makhdoom ghaya
asked
in
Set Theory & Algebra
Dec 9, 2015
by
makhdoom ghaya
400
views
tifrmaths2011
polynomials
1
vote
1
answer
25
TIFR-2011-Maths-A-8
The sum of the squares of the roots of the cubic equation $x^{3}-4x^{2}+6x+1$ is 0. 4. 16. none of the above
makhdoom ghaya
asked
in
Set Theory & Algebra
Dec 9, 2015
by
makhdoom ghaya
1.3k
views
tifrmaths2011
polynomials
2
votes
1
answer
26
Algorithm
A polynomial p(x) is such that p(0)=5 ,p(1)=4 ,p(2)=9 and p(3)=20 The minimum degree it can have is..
Soumyashree
asked
in
Calculus
Nov 21, 2015
by
Soumyashree
450
views
calculus
polynomials
numerical-answers
4
votes
0
answers
27
TIFR2010-Maths-B-15
Which of the following statements is false? The polynomial $x^{2}+x+1$ is irreducible in $\mathbb{Z}/2\mathbb{Z}[x]$. The polynomial $x^{2}-2$ is irreducible in $\mathbb{Q}[x]$. The polynomial $x^{2}+1$ is reducible in $\mathbb{Z}/5\mathbb{Z}[x]$. The polynomial $x^{2}+1$ is reducible in $\mathbb{Z}/7\mathbb{Z}[x]$.
Arjun
asked
in
Set Theory & Algebra
Nov 14, 2015
by
Arjun
595
views
tifrmaths2010
polynomials
3
votes
1
answer
28
TIFR CSE 2013 | Part B | Question: 2
Consider polynomials in a single variable $x$ of degree $d$. Suppose $d < n/2$. For such a polynomial $p(x)$, let $C_{p}$ denote the $n$-tuple $(P\left ( i \right ))_{1 \leq i \leq n}$. For any two such distinct polynomials $p, q,$ the number of ... $d$ At most $n - d$ Between $d$ and $n - d$ At least $n - d$ None of the above.
makhdoom ghaya
asked
in
Quantitative Aptitude
Nov 6, 2015
by
makhdoom ghaya
626
views
tifr2013
polynomials
non-gate
15
votes
2
answers
29
TIFR CSE 2012 | Part A | Question: 12
For the polynomial $p(x)= 8x^{10}-7x^{3}+x-1$ consider the following statements (which may be true or false) It has a root between $[0, 1].$ It has a root between $[0, -1].$ It has no roots outside $(-1, 1).$ Which of the above statements are true? Only (i). Only (i) and (ii). Only (i) and (iii). Only (ii) and (iii). All of (i), (ii) and (iii).
makhdoom ghaya
asked
in
Calculus
Oct 30, 2015
by
makhdoom ghaya
1.4k
views
tifr2012
calculus
polynomials
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