Question

Factor the following polynomial: x2−5x+6

Answer 1

Answer:

(x-2)(x-3)

Step-by-step explanation:

Answer 2

Answer:

x=2

x=3

Step-by-step explanation:

This seems like factorisation

X^2-5x+6

To factorise, you will look for two numbers that when multiplied together it will give 6 and when added it will give -5

Back to the question, the two numbers that can be used to multiple 6 and when added it will gives -5 is -3×-2

x^2-3x-2x+6

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

(x-3)(x-2)

Which can be solved further,

(x-3)=0

Add 3 to both sides

x=3

(x-2)=0

Add 2 to both sides

x=2