Question

what is the zero of the polynomial p(x) =(a²+b²)x+(a-b)²+(a+b)²​

Answer 1

Answer:

p(x) : (a²+b²)x + (a-b)² + (a+b)²

• a²x + b²x + a² + b² - 2ab + a² + b² + 2ab
• a²x + b²x + 2a² + 2b²
• a²(x+2) + b²(x+2)
• (x+2) (a²+b²)

x+ 2 = 0

x = (-2)