Question

11x²+22-32x=0 factoring method​

Answer 1

Given:

• 11x² + 22 - 32x = 0

Find:

• Solve by Factorisation Method

Solution:

we, have

➟ 11x² + 22 - 33x = 0 $\bigstar$

➟ 11x² - 33x + 22 = 0 $\red\bigstar$

$\qquad \qquad \pink{\sf Factor \: out \: 11}$

➟ 11(x² - 3x + 2) = 0 $\blue\bigstar$

$\qquad \qquad \orange{\sf By \: middle-split \: term}$

➟ 11(x² - x -2x + 2) = 0 $\blue\bigstar$

➟ $11\big\lgroup{\sf x(x - 1)-2(x - 1)}\big\rgroup = 0 \green\bigstar$

➟ $11\big\lgroup{\sf (x - 1)(x - 2)}\big\rgroup = 0 \pink\bigstar$

➟ 11(x - 1)(x - 2) = 0 $\purple\bigstar$

____________________________________

Hence, answer will be 11(x-1)(x-2)