You cannot solve a theorem: you can prove the theorem or you can solve a question based on the remainder theorem.

Any rational number can be used in the remainder theorem: 4 does not have a special role.

euclid

Euclid

Euclid

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The gougu theorem was the Chinese version of the Pythagorean theorem, they stated the same principle

Remainder Theorem:-

When f(x) is divided by (x-a) the remainder is f(a)

Tor example:-

f(x) x3-2x2+5x+8 divided by x-2

f(2) 8-8+10+8 = 18

So the remainder is 18 if there is no remainder then the divisor is a factor of the dividend.

F(a)

The remainder is not zero so y-3 is not a factor of y^4+2y^2-4

To find the greatest number that divides 319, 572, and 1329 while leaving remainders of 4, 5, and 6 respectively, we need to use the Chinese Remainder Theorem. First, find the least common multiple of the three given divisors (4, 5, and 6), which is 60. Then, apply the Chinese Remainder Theorem to find the number that satisfies the given conditions. The solution will be the number that is congruent to 4 modulo 4, 5 modulo 5, and 6 modulo 6.

nothing

Using the remainder theorem:-

The function of x becomes f(-2) because the divisor is x+2

Substitute -2 for x in the dividend: 2x3+x-7

When: f(-2) = 2(-2)3+(-2)-7 = -25

Then: -25 is the remainder

Do the division, and see if there is a remainder.

The remainder theorem states that if you divide a polynomial function by one of it's linier factors it's degree will be decreased by one. This theorem is often used to find the imaginary zeros of polynomial functions by reducing them to quadratics at which point they can be solved by using the quadratic formula.

They already knew it, Pythagoras just proved it

To find the number, we need to consider the remainders when the number is divided by 5 and 4. Let's denote the number as x. From the information given, we have two equations: x ≡ 1 (mod 5) and x ≡ 2 (mod 4). By solving these congruences simultaneously using the Chinese Remainder Theorem, we find that x ≡ 21 (mod 20). Therefore, the number you are thinking of is 21.

(x^3 + 3x^2 - x - 2)/[(x + 3)(x + 5) in this case you can use the long division to divide polynomials and to find the remainder of this division. But you cannot use neither the synthetic division to divide polynomials nor the Remainder theorem to determine the remainder. You can use both the synthetic division and the Remainder theorem only if the divisor is in the form x - c. In this case the remainder must be a constant because its degree is less than 1, the degree of x - c.

The remainder theorem says that if a polynomial f(x) is divided by x - c, then the remainder is f(c).

If the question is to determine the remainder by using the remainder theorem, then you are asking to find the value of f(-3) when you are dividing by x + 3, or f(-5)when you are dividing by x + 5 . Just substitute -3 or -5 with x into the dividend x^3 + 3x^2 - x - 2, and you can find directly the value of the remainder.

f(-3) = (-3)^3 + 3(-3)^2 - (-3) - 2 = -27 + 27 + 3 - 2 = 1 (remainder is 1)

f(-5) = (-5)^3 + 3(-5)^2 - (-5) - 2 = -125 + 75 + 5 - 2 = -47 (remainder is -47).

Using the remainder theorem:-

f(x) = 4x3+6x2+3x+2

f(x) becomes f(-3/2) or f(-1.5) because the divisor is 2x+3

f(-1.5) = 4(-1.5)3+6(-1.5)2+3(-1.5)+2 = -5/2 or -2.5

So the remainder is -2.5

Chinese and babylonians

The answer depends on the level of mathematics you are at: from simple remainders left when one number is divided by another to the remainder theorem where is is the division of one polynomial by another.

Pythagoras IDIOT

Actually "The Chinese also knew this theorem. It is attributed to Tschou-Gun who lived in 1100 BC." Quoted from http://www.arcytech.org/java/Pythagoras/history.HTML

Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about.

However, according to the remainder theorem, the remainder is the value of the cubic function when you substitute x = 2.

Norton's theorem is the current equivalent of Thevenin's theorem.

To school children in the Western world, Pythagoras is probably best known for Pythagoras theorem. However, apart from Eurocentrism, there is little to connect Pythagoras with the theorem since it was known to Mesopotemian, Chinese and Indian mathematicians for centuries before Pythagoras.

That is a theorem.

A theorem.

There are 19 various aspects of Pythagoras theorem.

Pythagorean Theorem (1)

Pythagoras Theorem(2)

Pythagorean Theorem (3)

Pythagorean Theorem (4)

Pythagoras Theorem(5)

Pythagorean Theorem(6)

Pythagrean Theorem(7)

Pythagoras Theorem(8)

Pythagorean Theorem (9)

Hyppocrates' lunar

Minimum Distance

Shortest Distance

Quadrangular Pyramid (1)

Quadrangular Pyramid (2)

Origami

Two Poles

Pythagoras Tree(1)

Pythagoras Tree(2)

Theorem by Pappus

theorem

x5+4x4-6x2+nx+2 when divided by x+2 has a remainder of 6

Using the remainder theorem: n = 2

No, a corollary follows from a theorem that has been proven. Of course, a theorem can be proven using a corollary to a previous theorem.

Google "Pappas Theorem"

A quantum theorem does not exist.

It is Pythagoras' theorem

thyales theorem

Pick's Theorem is a theorem that is used to find the area of polygons that have vertices that are points on a lattice. George Pick created Pick's Theorem.

There is no formula for a theorem. A theorem is a proposition that has been or needs to be proved using explicit assumptions.

Yes, the corollary to one theorem can be used to prove another theorem.

Millman's theorem

QED, Fermat's Last Theorem.

Derive the castiglino's theorem

theorem

Theorem 8.11 in what book?

Theorem 4-6 is false.

Pythagoras theorem

it relates to pythagoras theorem.

Both Thévenin's theorem and Norton's theorem are used to simplify circuits, for circuit analysis.

When a postulate has been proven it becomes a theorem.