if two polynomial equations have real solutions , then will the equation that is the result of adding , subtracting or multiplying the two polynomial equation also have real solutions

Respuesta :

multiplying is the right answer

Step-by-step explanation:

multiplying is not a problem, multiplying the two polynomial equations also has real solutions

adding or substracting does not work though

(1) [tex]2x^2-4=0[/tex] has two real solutions

(2) [tex]x^2-8=0[/tex] has two real solutions

but (1) - (2) gives

[tex]2x^2-4-x^2+8=x^2+4[/tex] = 0

this one has no real solution