Question

The graph of a quadratic polynomial is shown below.

The product and sum of the zeroes of the quadratic polynomial respectively are:

Options

• –5 and –6

• 5 and –6

• 5 and 6

• –5 and 6

Answer 1

5 and –6

Explanation:

1. Identify the zeroes from the graph

The zeroes or roots of a quadratic polynomial are the x-coordinates of the points where its graph intersects the x-axis.

The graph intersects the x-axis at:

x = –1

x = –5

2. Calculate the product of the zeroes

Let the zeroes be α = –1 and β = –5.

Product = α × β

= (–1) × (–5)

= 5

3. Calculate the sum of the zeroes

Sum = α + β

= (–1) + (–5)

= –6

The product of the zeroes is 5 and the sum of the zeroes is –6.