हिंदी

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

Advertisements
Advertisements

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).

एक पंक्ति में उत्तर
Advertisements

उत्तर

The graph intersects x-axis at two point.

∴ The no of zeroes of p(x) is two.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Polynomials - EXERCISE 2.1 [पृष्ठ २८]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 10
अध्याय 2 Polynomials
EXERCISE 2.1 | Q 1. (iv) | पृष्ठ २८

संबंधित प्रश्न

Find the zeroes of the polynomial f(x) = x2 – 2x – 8 and verify the relation between its zeroes and coefficients.


Find the zeroes of the quadratic polynomial f(x) = x2 + 3x – 10 and verify the relation between its zeroes and coefficients.


Find the zeroes of the quadratic polynomial f(x) = 5x2 – 4 – 8x and verify the relationship between the zeroes and coefficients of the given polynomial.


Find all the zeroes of `(2x^4 – 3x^3 – 5x2 + 9x – 3)`, it is being given that two of its zeroes are `sqrt3 and –sqrt3`. 

 


Obtain all other zeroes of (x4 + 4x3 – 2x2 – 20x – 15) if two of its zeroes are `sqrt(5)` and `-sqrt(5)`.


Find all the zeroes of polynomial (2x4 – 11x3 + 7x2 + 13x – 7), it being given that two of its zeroes are `(3 + sqrt(2))` and `(3 - sqrt(2))`.


If one zero of the polynomial x2 – 4x + 1 is `(2 + sqrt(3))`, write the other zero.


If –4 is a zero of the polynomial x2 – x – (2k + 2) is –4, then find the value of k.


If 1 is a zero of the quadratic polynomial ax2 – 3(a – 1)x – 1 is 1, then find the value of a.


If –2 is a zero of the polynomial 3x2 + 4x + 2k, then find the value of k.


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 ______.


The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.


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


Consider the following statements.

  1. x – 2 is a factor of x3 – 3x² + 4x – 4.
  2. x + 1 is a factor of 2x3 + 4x + 6.
  3. x – 1 is a factor of x5 + x4 – x3 + x² -x + 1.

In these statements


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 ______.


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×