Question

If –2 and 3 are the zeros of the quadratic polynomial x² + (a + 1)x + b then

Options

• a = –2, b = 6

• a = 2, b = –6

• a = –2, b = –6

• a = 2, b = 6

Answer 1

a = –2, b = –6

Explanation:

α + β = 3 + (–2)

= 1

And αβ = 3 × (–2)

= –6

∴ –(a + 1) = 1 

⇒ a + 1 = –1 

⇒ a = –2

Also, b = –6