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# If the Sum of the Zeros of the Polynomial F(X) = 2x3 − 3kx2 + 4x − 5 is 6, Then the Value of K is - Mathematics

MCQ

If the sum of the zeros of the polynomial f(x) = 2x3 − 3kx2 + 4x − 5 is 6, then the value ofk is

#### Options

• 2

• 4

•  −2

• −4

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#### Solution

Let alpha, beta be the zeros of the polynomial f(x)= 2x^3 - 3kx^2 + 4x - 5 and we are given tha

alpha + beta + γ = 6

Then,

alpha + beta + γ = 6

alpha + ß + γ = - (text{coefficient of x})/(text{coefficient of } x^2)

= -(-3k)/2 = (3k)/2

Substituting alpha + beta + γ = (3k)/2 , we get

(+ 3k )/2=6

+ 3k =12

k = 12/(+3)

k = + 4

The value of k is 4 ,

Hence, the correct alternative is (b)

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 2 Polynomials
Q 4 | Page 62
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