Answer: The correct option is 1, i.e., x-2.
Explanation:
The given polynomial is,
[tex]P(x)=3x^2-10x+8[/tex]
Since the degree of polynomial is 2, it means the polynomial has two factors.
The term -10x is written as (-6x-4x), because the sum of -6 and -4 is -10 which is the coefficient of x and the product of -6 and -4 is 24 which is a constant term.
Use grouping method to find the factors.
[tex]P(x)=3x^2-6x-4x+8[/tex]
[tex]P(x)=3x(x-2)-4(x-2)[/tex]
[tex]P(x)=(x-2)(3x-4)[/tex]
One factor (3x-4) is given it means the another factor is (x-2)
Therefore the second factor is (x-2) and the correct option is 1.
