Advertisements
Advertisements
प्रश्न
If the sum of the zeros of the polynomial f(x) = 2x3 − 3kx2 + 4x − 5 is 6, then the value ofk is
पर्याय
2
4
−2
−4
उत्तर
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)`
APPEARS IN
संबंधित प्रश्न
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
`2x+x^2`
State division algorithm for polynomials.
If a − b, a and b are zeros of the polynomial f(x) = 2x3 − 6x2 + 5x − 7, write the value of a.
If α, β are the zeros of polynomial f(x) = x2 − p (x + 1) − c, then (α + 1) (β + 1) =
If one root of the polynomial f(x) = 5x2 + 13x + k is reciprocal of the other, then the value of k is
State whether the given algebraic expression is polynomial? Justify.
10
Divide. Write the quotient and the remainder.
(21x4 − 14x2 + 7x) ÷ 7x3
Identify the following expression is polynomial. If not give reason:
`1/x(x + 5)`
An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses. In the figure, one can observe that poses can be related to representation of quadratic polynomial.
In the graph, how many zeroes are there for the polynomial?
For the polynomial `((x^3 + 2x + 1))/5 - 7/2 x^2 - x^6`, write the coefficient of x6
