Question

factarisation of x2 +100x -420000 =0​

Answer 1

Answer:

(x - 600)(x + 700)

Step-by-step explanation:

Given : x² + 100x - 420000

On comparing this with ax² + bx + c, we get

a = 1, b = 100, c = - 420000

By Middle Term Factorisation,

→ x² + 700x - 600x - 420000

Taking out common terms, we get

→ x(x + 700) - 600(x + 700)

→ (x - 600)(x + 700)

• In Middle Term Factorisation, we factorise the middle term only.
• First we multiply 'a' and 'c'.
• Then we have to find such a pair of number such that on addition or subtraction, the result equals to 'b' and on multiplication, the result equals to the multiplication of 'a' and 'c'.

We get the two terms : 700 and - 600

Addition = (700) + (- 600) = 100 = b

Multiplication = (700)(- 600) = - 420000 = Product of 'a' and 'c' i.e. (1)(- 420000) = - 420000