LCM of 8x^5y^3z^2 and 26x^6y^2w^5
plz help me
idk the answer gotta get it
What is the answer, I have a passing grade in math by a 97% and maybe I can help you.
5274 but i can not get the answer.....
Of course! To find the least common multiple (LCM) of two polynomials, we need to first factor each polynomial completely.
Let's start with the first polynomial, 8x^5y^3z^2. This polynomial is already fully factored.
Now, let's factor the second polynomial, 26x^6y^2w^5. Notice that this polynomial has an extra variable, w. Since we are looking for the LCM, we need to include all of the variables from both polynomials. In this case, we need to introduce w as a factor by including it in the factored form.
Taking out the common factors, we get:
26x^6y^2w^5 = 2 * 13 * x^6 * y^2 * w^5
Now that we have both polynomials factored, we can find the LCM.
To find the LCM, we need to find the highest power of each variable that appears in either polynomial and multiply them together.
From the first polynomial (8x^5y^3z^2), the highest powers of x, y, and z are 5, 3, and 2, respectively.
From the second polynomial (26x^6y^2w^5), the highest powers of x, y, z, and w are 6, 2, 0 (since z does not appear in the second polynomial), and 5, respectively.
Therefore, the LCM is the product of the highest powers of each variable:
LCM = x^6 * y^3 * z^2 * w^5
So the LCM of 8x^5y^3z^2 and 26x^6y^2w^5 is x^6y^3z^2w^5.