Question

Why are 1/4 and -1 zeroes of the polynomial p(x) = 4x² + 3x – 1 ?

Answer 1

Given polynomial p(x) = 4x² + 3x – 1 

Given zeroes are 1/4 and -1 

Let x = 1/4

Let x = -1 

⇒ p(-1) = 4(-1)² + 3(-1)-1 = 4 – 3 – 1 = 4 – 4 = 0 

∴ P(1/4 ) = 0 and p(-1) = 0 

So these values are zeroes of the polynomial p(x).