Question

Identify the GCF of 10x4y3 − 5x3y2 + 20x2y. 10x2y 10x3y 5x2 5x2y

Answer 1

Answer: $5x^2y$

Step-by-step explanation:

Given polynomial : $10x^4y^3-5x^3y^2 + 20x^2y$

We can rewrite the terms given in the above polynomial as :-

$10x^4y^3=5\times2\timesx^4y^3\\\\-5x^3y^2=5\times-1\timesx^3y^2\\\\20x^2y=5\times4\timesx^2y$

The highest common factor of numerical coefficients = 5

The highest common power of x =2

The highest common power of y =1

Therefore, the greatest common factor (GCF) of  $10x^4y^3-5x^3y^2 + 20x^2y= 5x^2y$

Answer 2

10x^4y^3 - 5x^3y^2 + 20x^2y....first, find the GCF of ur coefficients (numbers)....it is 5...now find the lowest exponents of x, which is x^2...and now find ur lowest exponent of y, which is y

so ur GCF is : 5x^2y