Answer:
The greatest common factor is 5x²y. The solution are 5, 2 and 1. Blank 1=5, Blank 2=2 and Blank 3=1.
Step-by-step explanation:
The given numbers are
[tex]15x^2y^3[/tex]
[tex]-20x^3yz[/tex]
The factors of given numbers are
[tex]15x^2y^3=3\times 5\times x\times x\times y\times y\times y[/tex]
[tex]-20x^3yz=-4\times 5\times x\times x\times x\times y\times z[/tex]
The greatest common factor is
[tex]G.C.F=5\times x\times x\times y[/tex]
[tex]G.C.F=5x^2y[/tex]
Therefore the greatest common factor is 5x²y. The solution are 5, 2 and 1.
Answer:
The greatest common factor is 5x²
Step-by-step explanation:
Step 1 : To find the greatest common factor, break down every term of both the polynomials into prime factors
[tex]15\cdot x^{2}\cdot y^3=3\times 5\times x\times x\times y\times y\times y\\-20\cdot x^3\cdot y\cdot z=-1\times 2\times 2\times 5\times x\times x\times x\times y\times z[/tex]
Step 2 : Now find the common factors which are common in both the polynomials
Common factors are : 5 , x and x
Step 3 : To find the greatest common factor find product of all the common factors obtained in the previous step
Greatest Common Factor = 5 × x × x
= 5·x²
So, The blanks will be : [5] x[2] y[0]
