Question

Square matrix of A has nonzero determinant if and only if the characteristic equation has all nonzero roots

score 147 · Answer 1 · 2026-03-26 03:12:18

147

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Square matrix of A has nonzero determinant if and only if the characteristic equation has all nonzero roots

Published on 26 Mar 2026 - 3:12

score 120 · Answer 2 · 2026-03-22 12:41:33

120

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Exclusive way to solve irrational equation

Published on 22 Mar 2026 - 12:41

score 2.1k · Answer 3 · 2026-03-25 01:18:32

2.1k

Views

number of distinct solution $x\in[0,\pi]$ of the equation satisfy $8\cos x\cos 4x\cos 5x=1$

Published on 25 Mar 2026 - 1:18

score 40 · Answer 4 · 2026-03-26 09:37:01

40

Views

Graphing polynomials by hand- finding $X-$intercepts

Published on 26 Mar 2026 - 9:37

score 1.8k · Answer 5 · 2026-03-24 22:08:13

1.8k

Views

What does this converge to and why?

Published on 24 Mar 2026 - 22:08

score 173 · Answer 6 · 2026-03-25 17:51:53

173

Views

Polynomial Doubt

Published on 25 Mar 2026 - 17:51

score 183 · Answer 7 · 2026-03-28 12:14:49

183

Views

Polynomials $P(x)=\sum_{i=0}^{\lfloor n/2 \rfloor} (-1)^i\frac{(2i)!}{2^i\cdot i!}\binom{n}{2i}x^{n-2i}$ have $n$ real roots

Published on 28 Mar 2026 - 12:14

score 188 · Answer 8 · 2026-03-26 04:27:18

188

Views

Prove the value of the $k$th symmetric sum via induction

Published on 26 Mar 2026 - 4:27

score 139 · Answer 9 · 2026-03-25 17:52:08

139

Views

If $a<b<c<d$ then predict the nature of roots of the equation $3(x-a)(x-c)+5(x-b)(x-d)=0$

Published on 25 Mar 2026 - 17:52

score 41 · Answer 10 · 2026-03-28 17:25:44

41

Views

Number of values of a for common roots

Published on 28 Mar 2026 - 17:25

score 75 · Answer 11 · 2026-03-26 04:21:39

75

Views

Relationship between coefficients and polynomial roots using induction proof?

Published on 26 Mar 2026 - 4:21

score 128 · Answer 12 · 2026-03-28 14:07:46

128

Views

Finding a new polynomial with roots $k$ greater than a given polynomial

Published on 28 Mar 2026 - 14:07

score 80 · Answer 13 · 2018-03-04 18:35:32

80

Views

For $3x^3-5x^2+12x-18=0$ find the value of $(1+\frac{x_1}{x_2})(1+\frac{x_2}{x_3})(1+\frac{x_3}{x_1})$ using Vieta's formulas

Published on 04 Mar 2018 - 18:35

score 179 · Answer 14 · 2026-03-25 12:30:06

179

Views

Evaluating a polynomial using Horner's algorithm

Published on 25 Mar 2026 - 12:30

score 212 · Answer 15 · 2018-03-04 21:52:07

212

Views

Beautiful sum of trigonometric roots

Published on 04 Mar 2018 - 21:52

List Question

Square matrix of A has nonzero determinant if and only if the characteristic equation has all nonzero roots

Exclusive way to solve irrational equation

number of distinct solution $x\in[0,\pi]$ of the equation satisfy $8\cos x\cos 4x\cos 5x=1$

Graphing polynomials by hand- finding $X-$intercepts

What does this converge to and why?

Polynomial Doubt

Polynomials $P(x)=\sum_{i=0}^{\lfloor n/2 \rfloor} (-1)^i\frac{(2i)!}{2^i\cdot i!}\binom{n}{2i}x^{n-2i}$ have $n$ real roots

Prove the value of the $k$th symmetric sum via induction

If $a<b<c<d$ then predict the nature of roots of the equation $3(x-a)(x-c)+5(x-b)(x-d)=0$

Number of values of a for common roots

Relationship between coefficients and polynomial roots using induction proof?

Finding a new polynomial with roots $k$ greater than a given polynomial

For $3x^3-5x^2+12x-18=0$ find the value of $(1+\frac{x_1}{x_2})(1+\frac{x_2}{x_3})(1+\frac{x_3}{x_1})$ using Vieta's formulas

Evaluating a polynomial using Horner's algorithm

Beautiful sum of trigonometric roots

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