Question

The product of the zeroes of x³+4x²+x-6 is 6.
True or False.

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Answer 1

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x³+4x²+x-6

a = 1, b = 4, c = 1, d = -6

➠ Sum of zeroes = -b/a = -4

➠ Sum of the product of zeroes taken two at a time = c/a = 1

➠ Product of zeroes = -d/a = -(-6)/1 = 6

$\textsf{It's true }$

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Answer 2

Answer:

P(x)=x 3 +4x 2+x−b

Let the roots be α,β,γ

so αβγ= a−d

= 1−(−b)

=b