Question

Find the factors of x2-5x+6​

Answer 1

Step-by-step explanation:

x²-5x+6

x²-6x-x+6

x(x+6)+1(x+6)

(x+1) (x+6)

Answer 2

Answer:

Step-by-step explanation:

X^2 -5x +6

(Multiply 1st and 3rd term ,thus, 6x^2 )

(Now find 2numbers as such , that the sum is middle term (-5x) and product is 6x^2 ,thus, the numbers are -3x and -2x )

CHECK:

-3x+-2x = -5x ☑️

-3x*-2x = 6x^2 ☑️

Now,

Substitute these 2 numbers instead of middle term

Therefore,,

X^2-5x+6

Becomes,,

X^2-3x-2x+6

Now factorise,,

X(x-3) -2(x-3)

Thus,,=

(x-2)(x-3)