Does anyone think it's possible to create a program to factorise a quadratic equation?

How difficult 1-10?
It would probably require a good amount of effort, you would have to do a lot of advanced string manipulation among other headache provoking things.

I would rate it a 8 or so, you would need to have some pretty good skills and algorithms ;)
i would like to say it is a 3. using numbers in programming is a lot easier than on paper. remember the quadratic formula? that works perfectly for this. and no string is needed if you are only do a formula like
ax^2 + bx + c
just request a b and c.

x = [ -b ± sqrt(b^2 - 4ac) ] / 2a

so for a computer do

const float answer = ((0 - b) + sqrt((b*b) - (4*a*c))) / (2*a);
const float second_answer = ((0 - b) - sqrt((b*b) - (4*a*c))) / (2*a);

you can also include an evaluation for the discriminate by doing a 2 or 3 if statements.
no need for algorithms. no need for strings. no headache.
i did a similar thing for my calc class. helped so much for understanding this and homework took no time at all.
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Factorising, not solving. Solving is easy!
write it on paper. following the change of variables. maybe a 4.
so lets work backwards.
we have (x+5)(x+3) = 0

lets multiply
x^2 + 8x + 15 so what happened?

we need a few variables here. so lets say its (ax+b)(cx+d)

((ax*cx) + (((a*d)+(c*b))*x) + ( b*d))

so now that we know what happened in this formula we can work forward.

x^2 + 8x + 15

ax^2 + bx + c
lets find the factors
 ``1234567`` `````` std::vector factors; for(int i = 0; i != a*c; i--){//evaluate if a*c is negative for(int j = 0; j < 100; j++){ if(j * i == a * c) { factors.push_back(j); factors.push_back(i);} //factors come in pairs } }``````

 ``1234567`` `````` std::vector factors; for(int i = 0; i != a*c; i++){//evaluate if a*c is positive for(int j = 0; j < 100; j++){ if(j * i == a * c) { factors.push_back(j); factors.push_back(i);} //factors come in pairs } }``````

next, what you need to do is find a way to solve for a.

if you still need help post a question. but that set you off to a good start. but i do not want to write it for you.

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If you wanted it to be factored from an entered equation as a string then it would be heck of a lot more difficult. But yeah I'm not the best person for math, I would take ui uiho's advice ;)
I think it is pretty easy.

You could simply solve it using the Quadratic Formula. Once you know the roots (root1 and root2), you could then put the equation into the form (x - root1)(x - root2).

The coding part is pretty easy.
Just some input statements, output statements, a couple if-conditions, . . .
Nothing really sophisticated.

I think what trips up most people is simply not being thorough about the formula in the first place. Especially people who are new to coding; they don't want to bother checking first if a equals 0, if the discriminant is 0 or less than 0, etc. They just want to write a short program that assumes all results will be nice real numbers.

On a scale of 1 to 10, I'd rate this task a 1, very easy.
you forgot the chance there is an equation like
14x^2+12x+213 its better to solve it using 3 agorithms. one of which i already posted.
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