Question

factorise x square+ 2 X - 120​

Answer 1

x=10 or x=-12

Step-by-step explanation:

Find two factors of 120 which differ by 2. The pair 12, 10 works.

Hence:

0 = x^2+2x-120 = (x+12)(x-10)

So x = -12 or x=10

Alternatively, complete the square then use the difference of squares identity:

a^2-b^2 = (a-b)(a+b)

as follows:

0 = x^2+2x-120

=x^2+2x+1-1-120

=(x+1)^2-121

=(x+1)^2-11^2

=((x+1)-11)((x+1)+11)

=(x-10)(x+12)

Hence x=10 or x=-12

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Answer 2

Answer:

x =-12,10

Step-by-step explanation:

=x^2+2x-120

=x^2+12x-10x-120

=x(x+12)-10(x+12)

=(x+12) (x-10)

x =-12,10