Answer:
[tex]50xy[/tex] and [tex]40x^2[/tex].
Step-by-step explanation:
The given polynomial is [tex]36x^3-22x^2-144x[/tex].
The prime factorization of each term are;
[tex]36x^2=2^2\times 3^2\times x^3[/tex]
[tex]-22x^2=-2\times 11\times x^2[/tex]
[tex]-144x=-2^4\times 3^2\times x[/tex]
The greatest common factor of these three terms is [tex]2x[/tex].
Now observe that:
The GCF of [tex]2x[/tex] and 11 is 1
The GCF of [tex]2x[/tex] and 50xy is 2x
The GCF of [tex]2x[/tex] and [tex]40x^2[/tex] is 2x
The GCF of [tex]2x[/tex] and 24 is 2
The GCF of [tex]2x[/tex] and 10y is 2
The correct options are [tex]50xy[/tex] and [tex]40x^2[/tex].
