Question

Simplify:
x2–5x+6 x2-x-2

x2+x-12 x2 +5x+4​

Answer 1

Question :

Simplify :

i) x² - 5x + 6

ii) x² - x - 2

iii) x² + x - 12

iv) x² + 5x + 4

Solution :

i) x² - 5x + 6

⇒ x² - 3x - 2x + 6

⇒ x(x - 3) -2(x - 3)

⇒ (x - 2) (x - 3)                  [Required answer]

________________________________________

ii) x² - x - 2

⇒ x² - 2x + x - 2

⇒ x(x - 2) - 1(x - 2)

⇒ (x - 2)(x - 1)                   [Required answer]

________________________________________

(iii) x² + x - 12

⇒ x² + 4x - 3x - 12

⇒ x(x + 4) - 3(x + 4)

⇒ (x + 4) (x - 3)               [Required answer]

________________________________________

iv) x² + 5x + 4

⇒ x² + 4x + x + 4

⇒ x(x + 4) + 1(x + 4)

⇒ (x + 4) (x + 1)            [Required answer]

Answer 2

${\large{\bold{\sf{\underline{Correct \; questions}}}}}$

Simplify the following terms :

❶ x² - 5x + 6

❷ x² - x - 2

❸ x² - x - 12

❹ x² + 5x + 4

${\large{\bold{\sf{\underline{Answers}}}}}$

Middle term splitting method :

$\rule{150}{2}$

❶ x² - 5x + 6

➨ x² - 3x - 2x + 6

➨ x(x-3) -2(x-3)

➨ (x-2) (x-3)

$\rule{150}{2}$

❷ x² - x - 2

➨ x² - 2x + x - 2

➨ x(x-2) -1(x-2)

➨ (x-2) (x-1)

$\rule{150}{2}$

❸ x² - x - 12

➨ x² + 4x - 3x - 12

➨ x(x+4) -3(x+4)

➨ (x+4) (x-3)

$\rule{150}{2}$

❹ x² + 5x + 4

➨ x² + 4x + x + 4

➨ x(x+4) +1(x+4)

➨ (x+4) (x-1)

$\rule{150}{2}$