Question

The graph of a quadratic polynomial is shown in the figure. The sum and product of zeroes of the polynomial respectively are:

Options

• 2 and 3

• 2 and –3

• –2 and 3

• –2 and –3

Answer 1

2 and –3

Explanation:

1. Identify the zeros

The zeros or roots of the polynomial are the x-values where the graph intersects the x-axis. Looking at the graph, those points are:

x = –1

x = 3

Let’s call them α = –1 and β = 3.

2. Calculate the sum

The sum of the zeros is:

Sum = α + β

= –1 + 3

= 2

3. Calculate the product

The product of the zeros is:

Product = α × β

= –1 × 3

= –3

The sum is 2 and the product is –3.