If you want to build a polynomial with roots [tex]x_1,x_2,\ldots,x_n[/tex] you just need to multiply factors like [tex](x-x_i),\ \forall i=1\ldots n[/tex]
So, your polynomial is
[tex]p(x)=(x-5)(x+5)=x^2-25[/tex]
Answer:
Step-by-step explanation:
x² - (α+β) + αβ = 0
α= 5 ; β = -5
x²- (5-5)x + 5*(-5) = 0
x² -0x -25 = 0
x² - 25 = 0
