Question

factorise x^2+11x+30

Answer 1

Given:

The given expression is

${x}^{2} + 11x + 30$

To find:

We have to factorise it.

Solution:

To determine the factors of the above expression we have to follow the below steps as follows-

The given expression is

${x}^{2} + 11x + 30$

30 can be a multiple of 5 and 6.

Hence writing 11x in terms of 5x and 6x we get-

${x}^{2} + 5x + 6x + 30 \\ x(x + 5) + 6(x + 5) \\ (x + 5)(x + 6)$

The factors of the above expression are (x+5)(x+6).

Answer 2

Answer:

Given:

The given expression is

{x}^{2} + 11x + 30x

2

+11x+30

To find:

We have to factorise it.

Solution:

To determine the factors of the above expression we have to follow the below steps as follows-

The given expression is

{x}^{2} + 11x + 30x

2

+11x+30

30 can be a multiple of 5 and 6.

Hence writing 11x in terms of 5x and 6x we get-

\begin{gathered} {x}^{2} + 5x + 6x + 30 \\ x(x + 5) + 6(x + 5) \\ (x + 5)(x + 6)\end{gathered}

x

2

+5x+6x+30

x(x+5)+6(x+5)

(x+5)(x+6)

The factors of the above expression are (x+5)(x+6).