Question

QUESTION-》

$6025n + 25 {n}^{2} + 249300$
Factorise it.

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Answer 1

Hola User____________________

Here is Your Answer.....!!!!!
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☆Actually welcome to the concept of the quadratic equation ....

☆after solving we get this .....

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Hope this helps u.....☺

Answer 2

Yeah sure for your help

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Here is your answer which you are searching for

Firstly We convert this as in quadratic form

25x^2 +6025x -249300

(5^2x^2 + 6025x ) -249300

Pull out like factors :-

25x^2+ 6025x -249300 = 25• ( x^2+ 241x -9972)

Let us trying to factor by spilting the middle term

Factoring :- x^2 +241x -9972

The first term x^2 has 1 as a coefficient

The middle term is +241x it's coefficient is 241

The last term the constant which has no variable is -9972

As we know to spilt this we have to multiply the coefficient of first term by the constant term

1 ✖ -9972 = -9972

Now we have two factors whose whose sum is equal to 241

x^2 -36x +277x -9972

( x +277 ) • (x -36)

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Our final result is

25• ( x+277) •(x -36)

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