मराठी

If 3 is a Zero of the Polynomial `2x^2 + X + K`, Find the Value of K. - Mathematics

Advertisements
Advertisements

प्रश्न

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

Advertisements

उत्तर

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

`2(3)^2 + 3 + k = 0`
`⇒ 21 + k = 0`
`⇒ k = – 21`

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).


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


Find the zeroes of the quadratic polynomial `f(x) = 6x^2 – 3.` 

 


If ∝ and β are the zeros of the polynomial f(x) = `6x^2 + x - 2 `find the value of `(∝/β+∝/β) ` 

 


If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is ______.


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


Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero, the product of the other two zeroes is ______.


If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of the
other two zeroes is ______.


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


If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is ______.


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


The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 ______.


The number of polynomials having zeroes – 3 and 4 is ______.


The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×