हिंदी

Find the Zeroes of the Quadratic Polynomial `F(X) = 6x^2 – 3.` - Mathematics

Advertisements
Advertisements

प्रश्न

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

 

Advertisements

उत्तर

To find the zeroes of the quadratic polynomial we will equate f(x) to 0 

`∴f(x) = 0`
`⇒ 6x^2 – 3 = 0`
`⇒ 3(2x^2 – 1) = 0`
`⇒ 2x^2 – 1 = 0`
`⇒2x^2 = 1 ` 

`⇒x^2=1/2` 

`⇒ x=+-1/sqrt2` 

Hence, the zeroes of the quadratic polynomial f(x) =  `6x^2-3 are 1/sqrt2,-1/sqrt2`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Polynomials - Exercises 3

APPEARS IN

आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 2 Polynomials
Exercises 3 | Q 19

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).


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


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

 


Obtain all other zeroes of `(x^4 + 4x^3 – 2x^2 – 20x – 15)` if two of its zeroes are `sqrt5 and –sqrt5.` 


If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k..


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

 


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. 


Find the value of k such that the polynomial  x2-(k +6)x+ 2(2k - 1) has some of its zeros equal to half of their product.


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


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


A polynomial of degree n has ______.


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


The number of quadratic polynomials having zeroes –5 and –3 is ______.


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


The zeroes of the quadratic polynomial 16x2 – 9 are ______.


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×