Question

factorise x2 + 3 root x - 30

Answer 1

Correct Question:

Factorise x + 13√x - 30

Answer:

(√x+15)(√x-2)

Step-by-step explanation:

Given an algebraic expression,

${x} +1 3 \sqrt{x} - 30$

To factorise,

We will do middle term splitting method.

In this method, we have to split the middle term in two terms such that their products will be equal to the product of other two terms.

Therefore, we will get,

$= x + 15 \sqrt{x} - 2 \sqrt{x} - 30$

Taking out commom terms, we get,

$= \sqrt{x} ( \sqrt{x} + 15) - 2( \sqrt{x} + 15) \\ \\ = ( \sqrt{x} + 15)( \sqrt{x} - 2)$

Hence, the factors are (√x+15) and (√x-2)