y=(x+2)²(x+1)³(x-1)⁴(x-2) based on the given what is the degree​

Answer:Find the degree of the given polynomial, we need to find the highest power of the variable x.Given polynomial: y = (x+2)²(x+1)³(x-1)⁴(x-2)Expanding the polynomial:y = (x² + 4x + 4)(x³ + 3x² + 3x + 1)(x⁴ - 4x³ + 6x² - 4x + 1)(x - 2)Highest power of x:x² × x³ × x⁴ × x = x²⁰ (since 2+3+4+1 = 10, but due to the multiplication, we add the exponents)However, since the highest power term comes from the product of all factors, the degree is 10, not 20.Degree of the polynomial: 10

Answered by mjPcontiga | 2024-10-21