Question

Find $p$ if the remainder when $(x^2 + px + 13)$ divided by $(x-2)$ is twice the remainder when it is divided by $(x+2)$.

score 166 · Answer 1 · 2026-04-17 10:29:49

166

Views

Find $p$ if the remainder when $(x^2 + px + 13)$ divided by $(x-2)$ is twice the remainder when it is divided by $(x+2)$.

Published on 17 Apr 2026 - 10:29

score 194 · Answer 2 · 2026-04-25 20:02:50

194

Views

Does a continuous function preserve metrizability?

Published on 25 Apr 2026 - 20:02

score 476 · Answer 3 · 2026-04-15 21:09:20

476

Views

Find the number of zeros of $f(z)=e^{z-1}-az$ inside unit disk, assuming $\mid a \mid >1$

Published on 15 Apr 2026 - 21:09

score 1k · Answer 4 · 2026-04-15 19:48:50

1k

Views

If $ n > 0$ and $n^2+1$ is prime, then $n=1$ or $n$ is even

Published on 15 Apr 2026 - 19:48

score 595 · Answer 5 · 2026-04-07 17:55:21

595

Views

A Proof for Generalized Rolle's Theorem

Published on 07 Apr 2026 - 17:55

score 382 · Answer 6 · 2026-04-11 03:47:22

382

Views

Proof that $\sigma$-algebra is not countable (proof revision)

Published on 11 Apr 2026 - 3:47

score 3.2k · Answer 7 · 2026-04-11 09:02:11

3.2k

Views

True or false statements about a square matrix

Published on 11 Apr 2026 - 9:02

score 2.5k · Answer 8 · 2026-03-25 03:18:03

2.5k

Views

Convexity of a Log Likelihood Function

Published on 25 Mar 2026 - 3:18

score 53 · Answer 9 · 2026-04-17 01:08:37

53

Views

arg$ \frac {z_1 - z_3} {z_2- z_4} = \pi/2 $ or $- \pi /2$.

Published on 17 Apr 2026 - 1:08

score 113 · Answer 10 · 2026-04-16 14:04:37

113

Views

Proof verification that $\{x_n\} = 0,\underbrace{77\dots 7}_{\text{n times}}$ is a Cauchy sequence.

Published on 16 Apr 2026 - 14:04

score 54 · Answer 11 · 2026-04-13 10:44:42

54

Views

Is this a Boolean algebra? (proof)

Published on 13 Apr 2026 - 10:44

score 1k · Answer 12 · 2026-04-17 06:38:59

1k

Views

Uniform convergence of $f_n(x) = \sqrt{x^2 + \frac{1}{n^2}}$, solution verification

Published on 17 Apr 2026 - 6:38

score 1.8k · Answer 13 · 2026-04-14 08:29:11

1.8k

Views

How many roots does $g(z)=z^7-2z^5+6z^3-z+1$ have inside the unit disk - Rouche's Theorem Application Verification

Published on 14 Apr 2026 - 8:29

score 115 · Answer 14 · 2026-04-15 05:59:41

115

Views

If 2 is a unit in a ring R, then there exists a bijection between the idempotents of the ring and the self-inverse elements

Published on 15 Apr 2026 - 5:59

score 110 · Answer 15 · 2026-04-18 05:16:28

110

Views

Prove $\int_0^1 f(x){\rm d}x\leq \frac{M}{4}.$

Published on 18 Apr 2026 - 5:16

List Question

Find $p$ if the remainder when $(x^2 + px + 13)$ divided by $(x-2)$ is twice the remainder when it is divided by $(x+2)$.

Does a continuous function preserve metrizability?

Find the number of zeros of $f(z)=e^{z-1}-az$ inside unit disk, assuming $\mid a \mid >1$

If $ n > 0$ and $n^2+1$ is prime, then $n=1$ or $n$ is even

A Proof for Generalized Rolle's Theorem

Proof that $\sigma$-algebra is not countable (proof revision)

True or false statements about a square matrix

Convexity of a Log Likelihood Function

arg$ \frac {z_1 - z_3} {z_2- z_4} = \pi/2 $ or $- \pi /2$.

Proof verification that $\{x_n\} = 0,\underbrace{77\dots 7}_{\text{n times}}$ is a Cauchy sequence.

Is this a Boolean algebra? (proof)

Uniform convergence of $f_n(x) = \sqrt{x^2 + \frac{1}{n^2}}$, solution verification

How many roots does $g(z)=z^7-2z^5+6z^3-z+1$ have inside the unit disk - Rouche's Theorem Application Verification

If 2 is a unit in a ring R, then there exists a bijection between the idempotents of the ring and the self-inverse elements

Prove $\int_0^1 f(x){\rm d}x\leq \frac{M}{4}.$

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