Question

verify the zeros of the polynomial g(x) =3x²-2,x =2/root 3, - 2/ root 3​

Answer 1

Answer:

answer of this question 45

Answer 2

Correct question :-

Verify the relationship between zeros and coefficients of the polynomial g(x) = 3x²- 2 where the zeros x =2/√3, - 2/√3.

Solution :-

◘ The given polynomial is :

3x² - 4

→ 3x + 0x - 4

In the given polynomial,

• a = 3

• b = 0

• c = -4

Let the zeros of the given polynomial be x and y.

$\sf x = \frac{2}{\sqrt{3} }$

$\sf y=\frac{-2}{\sqrt{3} }$

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Sum of the zeros = -b/a

→ Sum = -(0) / 3

→ Sum = 0

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$\sf x+y=\frac{2}{\sqrt{3} } +\frac{-2}{\sqrt{3} }$

$\sf x+y=\frac{2}{\sqrt{3} } -\frac{2}{\sqrt{3} }$

$\mapsto\sf x+y=0$

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Product of the zeros = c/a

→ Product = -4/3

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$\sf xy=\frac{2}{\sqrt{3}}\times \frac{-2}{\sqrt{3}}\\\mapsto \sf xy=\frac{-4}{3}$

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Thus, verified.