मराठी

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

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).

एका वाक्यात उत्तर

उत्तर

The graph intersects x-axis at one point.

∴ The no of zeroes of p(x) is one.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Polynomials - Exercise 2.1 [पृष्ठ २८]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 10
पाठ 2 Polynomials
Exercise 2.1 | Q 1.2 | पृष्ठ २८

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).


One zero of the polynomial `3x^3+16x^2 +15x-18 is 2/3` . Find the other zeros of the  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`. 

 


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

 


Find the zeroes of the polynomial `x^2 – 3x – m(m + 3)` 

 


If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find 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) ` 

 


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


If x4 + 3x2 + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are ______.


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


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


If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.


If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.


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


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×