Question

VERY SHORT ANSWER QUTULD
1. If the product of two zeroes of polynomial 3x3 + 5x2 - 7x - 27 be 3, then third zero is
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Answer 1

Answer:

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Step-by-step explanation:

p(x) = 3x³ + 5x² – 7x - 27

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 = - (-27)/3 = 27/3 = 9

Find the third zeros:

Given αβ = 3

3γ = 9

γ = 9 ÷ 3

γ = 3

Answer: The third zero is 3