हिंदी

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

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
Advertisements

उत्तर

This statement is True.

Explanation:

If the graph of a polynomial intersects the x-axis at exactly two points.

Then it may or may not be a quadratic polynomial.

As, a polynomial of degree more than 2 is possible which intersects the x-axis at exactly two points when it has two real roots and other imaginary roots.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Polynomials - Exercise 2.2 [पृष्ठ ११]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 10
अध्याय 2 Polynomials
Exercise 2.2 | Q 2.(iii) | पृष्ठ ११

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.


Find the zeros of the polynomial f(x) = x2 + 7x + 12 and verify the relation between its zeroes and coefficients.


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


One zero of the polynomial 3x3 + 16x2 + 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`. 

 


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


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


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


Find the zeroes of the quadratic polynomial f(x) = 6x2 – 3.


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 ______.


The number of polynomials having zeroes as -2 and 5 is ______.


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


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


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


The number of polynomials having zeroes as -2 and 5 is ______.


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 ______.


The zeroes of the polynomial 3x2 + 11x – 4 are ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×