Question

If the product of two zeros of the polynomial p(x) = 2x3

+ 6x2

– 4x + 9 is 3, then

find its third zero.

Answer 1

Answer:

-3/2

Step-by-step explanation:

p(x) = 2x³ + 6x² – 4x + 9

Define α,β and γ

Let α,β and γ be the 3 roots

αβ = 3 (Given)

Find the products of all the zeros:

αβγ = - d/a

αβγ = - 9/2

Find the third zeros:

Given αβ = 3

3γ = -9/2

γ = -9/2 ÷ 3

γ = -3/2

Answer: The third zero is -3/2

Answer 2

Answer:

Step-by-step explanation:

Let α,β and γ be the 3 roots

αβ = 3 (Given)

Find the products of all the zeros:

αβγ = - d/a

αβγ = - 9/2

Find the third zeros:

Given αβ = 3

3γ = -9/2

γ = -9/2 ÷ 3

γ = -3/2