Question

Form aquadratic polynomial whose zeroes are 5 and -5

Answer 1

If you want to build a polynomial with roots $x_1,x_2,\ldots,x_n$ you just need to multiply factors like $(x-x_i),\ \forall i=1\ldots n$

So, your polynomial is

$p(x)=(x-5)(x+5)=x^2-25$

Answer 2

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