मराठी

If -2 is a Zero of the Polynomial `3x^2 + 4x + 2k` Then Find the Value of K. - Mathematics

Advertisements
Advertisements

प्रश्न

If -2 is a zero of the polynomial `3x^2 + 4x + 2k` then find the value of k. 

 

Advertisements

उत्तर

Given: x = –2 is one zero of the polynomial `3x^2 + 4x + 2k`
Therefore, it will satisfy the above polynomial.
Now, we have 

`3(–2)^2 + 4(–2)1 + 2k = 0`
`⇒ 12 – 8 + 2k = 0`
`⇒ k = – 2`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Polynomials - Exercises 3

APPEARS IN

संबंधित प्रश्‍न

The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in the following.


The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x).


Find the zeros of the polynomial `f(x) = x^2 + 7x + 12` and verify the relation between its zeroes and coefficients.


If f(x) =`x^3-3x+5x-3` is divided by g(x)=`x^2-2` 

 


If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` , write the other zero. 


Find the zeroes of the polynomial `x^2 + x – p(p + 1) ` 

 


Find ∝ , β are the zeros of polynomial ∝ +β= 6 and ∝β 4 then write the polynomial. 


If 𝛼, 𝛽 are the zeroes of the polynomial `f(x) = x^2 – 5x + k` such that 𝛼 - 𝛽 = 1, find the value  of k = ? 


If the zeroes of the polynomial `f(x) = x^3 – 3x^2 + x + 1` are (a – b), a and (a + b), find the values of a and b. 


If one of the zeroes of the quadratic polynomial (k – 1) x2 + kx + 1 is - 3, then the value of k is ______.


If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then ______.


10. The zeroes of the quadratic polynomial x² + kx + k, k? 0.


If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.


A quadratic polynomial, whose zeores are -4 and -5, is ______.


If x3 + 1 is divided by x2 + 5, then the possible degree of quotient is ______.


If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.


If f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.


If α and β are the zeroes of the polynomial x2 – 1, then the value of (α + β) is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×