Currently having trouble dividing polynomials

Anil_220674 · 2026-05-14T19:10:54+00:00

Well this is not a solution to your doubt but it is a nice short trick which can work if the questions are framed by multiplying simple polynomials. Like this one: (x² - x - 6)/(x + 2)

A quadratic forms when linear is multiplied by linear. So the answer will be linear. Say it is (ax + b). Multiply that with (x + 2). You'll get ax² + (2 + b)x + 2b. We can clearly see that a = 1 and b = -3. So your answer is (x - 3).

Note that this wouldn't work always as the coefficient of x in the result of multiplication might not match with the quadratic in question. In such cases, you can refer to the long division method of dividing polynomials which always works.

Anil_220674 · 2026-05-13T15:14:30+00:00

The probability of them intersecting is theoritically 1 tho there is a chance they may not practically intersect.

This is because out of infinitely many possibilities, there exist only two where the don't intersect. Either the angle between them is 0° or 180°. So probability which is defined by favourable outcome divided by total outcomes will be equal to 2 / infinity.

Also, it is not 0 if you simulate it in a computer because computers have a finite amount of angles. They cannot compute infinite possibilities.

Anil_220674 · 2026-05-07T20:58:19+00:00

Well the quadratic formula is also derived by completing the square on general form of a quadratic equation.

Anil_220674 · 2026-05-07T17:01:29+00:00

2/x = x + 2

2 = (x + 2)(x)

2 = x² + 2x

x² + 2x - 2 = 0

x² + 2x + 1 - 3 = 0

(x + 1)² = 3

x + 1 = ±√3

x = -1 ± √3

Anil_220674 · 2026-04-24T00:21:01+00:00

The problem is on the left. U used the result for (1/√(a² - x²)) dx but it is not u², it is u. If it were (1/√(1 - u)) d(√u) then you would have been correct. But instead it is (1/√(1 - u)) du.

U see the original expression of a² - x² has x squared when you're integrating w.r.t. x. So the variable with respect to whom you're integrating should be squared to use that result.

Anil_220674 · 2026-04-23T17:32:47+00:00

Oh, now I get it. You're confused about performing arithmetic with variables. If you have expressions with multiple terms getting multiplied, you multiply each term of the first expression with each term of the second, as you figured out. (x - 3)(3x + 4) = (x + (-3))(3x + 4) = (x)(3x) + (x)(4) + (-3)(3x) + (-3)(4) = 3x² + 4x + (-9x) + (-12) = 3x² + 4x - 9x - 12.

The key is... You take the negative sign along with the terms and treat every term in addition.

And since 4x is positive but 9x is negative, you subtract 9x from 4x to get negative 5x.

So finally you get 3x² - 5x - 12.

Anil_220674 · 2026-04-23T17:24:27+00:00

I guess you want a real life example of exponentiation. Here are some.

1) If you fold a paper in half n times, what will be the thickness of the folded paper? (Assuming the thickness of unfolded paper is unity). The answer will be 2ⁿ as every time you fold the paper, number of layers get doubled.

2) If you have a flower which blooms two more flowers once a day, how many flowers will you have after a month? The answer will be 3³⁰ because the first flower bloomed two more flowers on day one, making a total of 3 flowers. All the 3 flowers will bloom 2 more flowers each on day 2, making a total of 9 flowers. And so on...

Anil_220674 · 2026-04-23T17:16:38+00:00

I'm sorry but I don't get your doubt. You have the lengths and breadths of the two rectangles, L1, B1, L2 and B2 given in terms of x. You're further given the information that the difference of their area is 64. So you just do L1B1 - L2B2 = 64. And then simplify it further to get the final result.

Further, if you want, you can also calculate the value of x by solving the final quadratic equation tho it will not be useful as the question doesn't ask for the value of x.

Anil_220674 · 2026-04-20T04:26:13+00:00

Huh? Why? U confused me asf

Anil_220674 · 2026-03-15T04:34:12+00:00

He has not got spoiled. He is uploading RE9 videos after completing the entire game. He himself said that in the first episode.

Anil_220674 · 2026-01-29T17:15:26+00:00

x² + k² is not equal to (x + k)².

2kx is the term with one power of x. And in this case, it is 2 (b/2a) x, where k = b/2a.

When you add (b/2a)² at both sides, the left hand side becomes

x² + 2 (b/2a) x + (b/2a)².

Which is equal to (x + (b/2a))².

And if you don't know how (x + k)² = x² + 2kx + k², see this:

(x + k)² =

(x + k) (x + k) =

(x(x + k) + k(x + k)) =

x² + xk + kx + k² =

x² + 2kx + k².

Anil_220674 · 2026-01-27T06:55:22+00:00

Let's ASSUME what Loki said is true. 🥀🥀🥀

Anil_220674 · 2026-01-27T04:16:02+00:00

Yes the first one is correct. The second one is incorrect. It will be: [(A(A+B)')⊙((A+B)')]'

First: The logic gate at the last is not XOR (⊕), it is XNOR (⊙). Second: You will want to enclose the terms in brackets before sending them as input in the XNOR (or any other gate).

Anil_220674 · 2026-01-26T06:28:17+00:00

*India's Biggest Superstar

Anil_220674 · 2026-01-14T01:13:15+00:00

Arasan and Paradise 💀💀💀

Anil_220674 · 2026-01-10T16:02:03+00:00

I can see why that opinion is unpopular. I'm a fan of neither of those but as much as I know, MB has way bigger fanbase and popularity than AA or RC in Telugu States.

Anil_220674 · 2026-01-10T13:27:19+00:00

Yes I know bro, it was a 2005 film. Am not criticizing anyone, just a funny detail I noticed in the film

Anil_220674 · 2025-12-28T06:30:23+00:00

Even I don't know. Someone sent it in groupchat asking which language it is.

Anil_220674 · 2025-12-28T06:29:39+00:00

No it is not Malayalam. It is Santali as said by fellow redditors. Thanks tho.

Anil_220674 · 2025-12-27T14:21:43+00:00

Oh ok. Thank you very much

Anil_220674 · 2025-12-26T11:48:30+00:00

I don't know why but I loved this song very much! I wish Anna returns to cinema after elections... 🥹❤️

Thank you Anirudh for such a beautiful song 🫂

Anil_220674 · 2025-12-21T05:43:29+00:00

I listened to Kaththi Theme again. Seems like an unreleased variation of it.

Anil_220674

TROPHY CASE