Question

According to the graph, what is the factorization of x^2-4x+3

Answer 1

(x - 3)(x - 1)

Explanation:

See attached graph...

You can see that he graph goes through the points (1, 0) and (3, 0)

So the x values are 1, and 3

x = 1 becomes x - 1 = 0 the factor is (x -1)

x = 3 becomes x - 3 = 0 the factor is (x - 3)

Answer 2

(x-1) , (x-3) are the factors of this equation.

Explanation:

We have given the equation:

x²-4x+3

We have to factorize it according to the graph.

The factor are whose values of x on which the graph cuts x-axis.

As it is clear from the graph that the graph cuts x-axis at (1,0) and (3,0)

So, the factors are:

x= 1 ⇒ (x-1) =0

And x =3 ⇒ (x-3) =0

(x-1) , (x-3) are the factors of this equation.

Graph is attached.