Question

If the zeros of the polynomial x2+4x+2a are alpha and 2 divided by alpha,then find the value of a.

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Solution:-

Given Quadratic Polynomial Equation:-

x² + 4x + 2a

Zeroes of the Given Polynomial:-

α and 2/α.

Now, We know that,

Product of Zeroes = c/a

=) α × 2/α = 2a/1

=) 2 = 2a

=) a = 1.

For Quadratic Polynomial!

Relation of Quadratic Polynomial:-

• α + β = -b/a
• α × β = c/a

General Formula:-

• ax² + bx + c = 0

For Cubic Polynomial!

Relation of Cubic Polynomial:-

• α + β + γ = -b/a
• αβ + βγ + αγ = c/a
• αβγ = -d/a

General Formula:-

• ax³ + bx² + cx + d = 0