How many roots does y = x

- 4x2 + 3x have?

2

Step-by-step explanation:

Since the polynomial is of degree 2, there will be 2 roots

To find the roots let y = 0, that is

x - 4x² + 3x = 0

4x - 4x² = 0 ← factor out 4x on the left side

4x (1 - x) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

1 - x = 0 ⇒ x = 1

The 2 roots are x = 0 and x = 1