Question

Factorise m2 -24m + 80​

Answer 1

Question:-

Factorise m² - 24m + 80

Answer:-

• 20 and 4 are the factors of the equation.

Solution:-

a = 1 ; b = -24 ; c = 80

➣ $\frac{ - b \: ± \: \sqrt{ {b}^{2} - 4ac} }{2a}$

➣ $\frac{ - ( - 24 ) ± \sqrt{ {( - 24}^{2} - 4(1)(80)} }{2(1)}$

➣ $\frac{24 \: ± \: \sqrt{576 \: - \: 320} }{2}$

➣ $\frac{24 \: ± \: \sqrt{256} }{2}$

➣ $\frac{24 \: + \: 16}{2} \: \: and \: \: \frac{24 \: - \: 16}{2}$

➣ $\frac{40}{2} \: \: and \: \: \frac{8}{2}$

➣ $20 \: ,\: 4$

∴ 20 and 4 are the factors of the equation.

Answer 2

Use the sum-product pattern

2−24+80

2−4−20+80

Common factor from the two pairs

2−4−20+80

(−4)−20(−4)

Rewrite in factored form

(−4)−20(−4)

Solution :

(−20)(−4)