मराठी

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

Advertisements
Advertisements

प्रश्न

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

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Polynomials - Exercise 2.2 [पृष्ठ ११]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 10
पाठ 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).


Find the zeroes of the quadratic polynomial `f(x) = 5x^2 ˗ 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`. 

 


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


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


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


If -2 is a zero of the polynomial `3x^2 + 4x + 2k` then find the value of k. 

 


If 𝛼, 𝛽 are the zeroes of the polynomial `f(x) = x^2 – 5x + k` such that 𝛼 - 𝛽 = 1, find the value  of k = ? 


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. 


A quadratic polynomial, whose zeroes are -3 and 4, is ______.


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


If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it ______.


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 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.


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


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


The given linear polynomial y = f(x) has


If α and β are the zeroes of the polynomial x2 + x − 2, then find the value of `alpha/beta+beta/alpha`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×