Question

factorize following x²-10x + 24
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Answer 1

Answer:

$x { }^{2} - 6x - 4x + 24 \\ = x(x - 6) - 4(x - 6) \\ = (x - 6)(x - 4)$

Answer 2

REQUIRED SOLUTION:

x²-10x+24

=> x²+2x-12x+24

=> x(x+2)-12(x+2)

=> (x-12)(x+2)

=> x=12,-3

Method applied is middle term splitting.

To factorise any quadratic equation we can solve it either by using middle term splitting and by using quadratic formula.

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ADDITIONAL INFORMATION:

General form of quadratic equation:

• ax²+bx+c=0

Let's understand middle term splitting in detail!

To find roots by middle term splitting you have to multiply the coefficient of x² (a) and the constant term (c) and have to arrange the product of a and c in such a way that it can remove the middle term (or split).