Question

Factorise: 42x^2 - 35x + 7​

Answer 1

Step-by-step explanation:

42⋅(x+13)(x+12). Explanation: We solve the equation 42x2+35x+7=0 dividing by 42. x2+56x+16=0 by the quadratic Formula we get. x1,2=−512±√25144−24144

Answer 2

┏─━─━─━─━∞◆∞━─━─━─━─┓ ✭✮ӇЄƦЄ ƖƧ ƳƠƲƦ ƛƝƧƜЄƦ✮✭

┗─━─━─━─━∞◆∞━─━─━─━─┛

⠀⠀⠀⠀

What to do :-

⠀⠀⠀⠀

• Factorise: 42x^2 - 35x + 7

⠀⠀⠀⠀

Solution :

⠀⠀⠀⠀

$\color{magenta} {42x}^{2} - 35x + 7$

⠀⠀⠀⠀

$\color{orange}7( {6x}^{2} - 5x + 1)$

⠀⠀⠀⠀

$\color{magenta}7( {6x}^{2} - 2x - 3x + 1)$

⠀⠀⠀⠀

$\color{orange}7(2x(3x - 1) - 1(3x - 1))$

⠀⠀⠀⠀

$\color{magenta}7(3x - 1)(2x - 1)$

⠀⠀⠀⠀

Additionally :

⠀⠀⠀⠀

How to factorize :-

⠀⠀⠀

⠀⠀⠀⠀⠀

• Move all terms to one side of the equation, usually the left, using addition or subtraction.

⠀⠀⠀⠀

• Factor the equation completely.

⠀⠀⠀⠀

• Set each factor equal to zero, and solve.

⠀⠀⠀⠀

• List each solution from Step 3 as a solution to the original equation.

⠀⠀⠀⠀