Question

How many zeroes does p(x) = (x – 2) (x + 3) have?

Options

• Zero

• One

• Two

• Three

Answer 1

Two

Explanation:

The given polynomial is p(x) = (x – 2) (x + 3).

If we multiply the factors, we get:

p(x) = x² + 3x – 2x – 6

= x² + x – 6

The degree of this polynomial is 2, which indicates it is a quadratic polynomial.

To find the zeroes, set p(x) = 0:

(x – 2) (x + 3) = 0

This implies either x – 2 = 0 or x + 3 = 0.

So, x = 2 and x = –3 are the two distinct zeroes.