Question

Factorise x2 + x - 30 using middle term splitting

Answer 1

x²+x-30
x²+6x-5x-30
x(x-6)-5(x-6)
(x-5)(x-6)

x=5,6

Answer 2

Concept

When applying splitting of the middle term in quadratic factorization, the x term is the product of the final term and the two factors.

Given

The equation given is  x2 + x - 30

Find

We need to factorize the given equation using splitting middle term

Solution

The expression given is x2 + x - 30

Now Factors of 30 which gives its difference x (middle term)

is 6 and 5

So , We can split the middle term by

$x^2+6x-5x+30\\=x(x+6)-5(x+6)\\=(x+6)(x-5)$

Therefore x = 5 and x = -6

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