Factor 26r³s + 52r⁵ - 39r²s⁴. What is the resulting expression?

Solution:

Given 26r³s + 52r⁵ - 39r²s⁴

Factoring Polynomials means decomposing the given polynomial into a product of two or more polynomials using prime factorization.

∴ 26r³s + 52r⁵ - 39r²s⁴

= 13r² (2rs + 4r³ - 3s⁴)

Example: Find the factors of 7x⁴y³ - 21x²y² + 49xy²

Given, 7x⁴y³ - 21x²y² + 49xy²

⇒ 7xy² [x³y - 3x + 7]

Factor 26r³s + 52r⁵ - 39r²s⁴. What is the resulting expression?

Summary:

Factoring 26r³s + 52r⁵ - 39r²s⁴, we get 13r² (2rs + 4r³ - 3s⁴).