Question

Factorise: X^2-4x+3
With step by step solution

Answer 1

Answer:

Step-1 : Multiply the coefficient of the first term by the constant 1 • 3 = 3

Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -4 .

-3 + -1 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and -1

x2 - 3x - 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(x-1) • (x-3)

Which is the desired factorization

Equation at the end of step 1 :

(x - 1) • (x - 3) = 0

Answer 2

Answer:

X^2-4x+3

x^2-3x-x+3

x(x-3)-1(x-3)

(x-1)(x-3)

x=1,3