Question

if the zeros of a polynomial X square + 4 x + 2a alpha and 2 /Alpha then find the value of a( please answer it step by step).​

Answer 1

Correct Question: If the zeroes of a polynomial x² + 4x + 2a is α and 2/α. Find the value of a.

Answer:

$\large{\underline{\boxed{\sf a = 1}}}$

Step-by-step explanation:

Given that -

x² + 4x + 2a, here a = 1, b = 4 and c = 2a.

Now, we know that -

Product of zeroes = $\sf \dfrac{c}{a}$

⇒ $\sf \alpha * \dfrac{2}{\alpha }$ = $\sf \dfrac{2a}{1}$

⇒ 2 = 2a

⇒ a = $\sf \dfrac{2}{2}$

⇒ a = 1

Hence, the value of a is 1.

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$\large{\underline{\underline{\mathfrak{\heartsuit \: Extra \: Information: \: \heartsuit}}}}$

For a quadratic polynomial ax² + bx + c, the zeroes are α and β, where -

• α + β = -b/a
• αβ = c/a

Answer 2

Answer:

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