Sangeetha Pulapaka
0

STEP 1 : Recall what monomials are

http://www.amathsdictionaryforkids.com/qr/m/monomial.html

STEP 2: Recall what are factors

https://www.wikihow.com/Factor-Algebraic-Equations

STEP 3: Recall what greatest common factor is

http://www.math.com/school/subject1/lessons/S1U3L2GL.html

STEP 4: Find the greatest common factor of 5x^{3}, 4x^{2}

5x^{3} = 5.x.x.x = 5.x^{2}. x

4x^{2} = 4 x x = 4 x^{2}

So x^{2} is the greatest common factor of 5x^{3}, 4x^{2}