Name Algebra 2 Score Date Algebra 2 Section 9 - 5 QuizFind the least common multiple of each pair of polynomials. Show your work! (2pts)1) 12x2y2 and 18xy312x2y2=22×3×x2×y22) 3x2−27 and x2+6x+9
Q. Name Algebra 2 Score Date Algebra 2 Section 9 - 5 QuizFind the least common multiple of each pair of polynomials. Show your work! (2pts)1) 12x2y2 and 18xy312x2y2=22×3×x2×y22) 3x2−27 and x2+6x+9
Find LCM of 12x2y2 and 18xy3: First, let's find the LCM of 12x2y2 and 18xy3. Factor each polynomial to its prime factors: 12x2y2=22×3×x2×y218xy3=2×32×x×y3 Now, take the highest powers of each prime factor to get the LCM: LCM=22×32×x2×y3
Factorize polynomials: Next, find the LCM of 3x2−27 and x2+6x+9. First, factor each polynomial: 3x2−27=3(x2−9)=3(x+3)(x−3)x2+6x+9=(x+3)(x+3) The LCM is the product of the distinct factors raised to their highest powers: LCM=3(x+3)(x−3)(x+3)