Question

factorise x ^ 2 + x - 30 using the splitting the middle term method​

Answer 1

Step-by-step explanation:

✏ Question :-

Factorise x² + x - 30 using the splitting the middle term method.

✏ Solution :-

${\bold{\sf{⟾ \: \: \: \: \: \: \: \: \: \: x² \: + \: x \: - \: 30}}}$

Splitting the middle term,

${\bold{\sf{⟾ \: \: \: \: \: \: \: \: \: x² \: + \: 6x \: - \: 5x \: - \: 30}}}$

${\bold{\sf{⟾ \: \: \: \: \: \: \: \: \: \: x(x \: + \: 6) \: - \: 5(x \: + \: 6)}}}$

${\bold{\sf{⟾ \: \: \: \: \: \: \: \: \: \: \: (x \: - \: 5) (x \: + \: 6)}}}$

Answer 2

$\large \fbox{Given Question:}$

$\sf {{x}^{2} + x - 30}$

$\large \fbox{Required Answer:}$

$\sf \blue{ \implies {x}^{2} + x - 30}$

$\sf \blue{ \implies {x}^{2} + 6x - 5x - 30}$

$\sf \blue{ \implies{6x(x + 6) - 5(x + 6)}}$

$\sf \blue{ \implies(x + 6)(6x - 5)}$

$\boxed{ \sf \bold \blue{ (x + 6)(6x - 5)}} \purple\bigstar$

$\sf \pink{Hence, it \: is \: factorized.}$

Thank you!

@itzshivani