Chapter 2: Polynomials

Q1. Factorise: x² - 5x + 6.

Solution

x² - 5x + 6 = (x - 2)(x - 3)

Q2. Find the zero of polynomial p(x) = 2x + 5.

Solution

2x + 5 = 0 ⇒ x = -5/2

Q3. Verify that x = 2 is a zero of x² - 3x + 2.

Solution

p(2) = 4 - 6 + 2 = 0 ✓
Yes, x = 2 is a zero.