हिंदी

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

Advertisements
Advertisements

प्रश्न

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

If α, β are the zeros of a polynomial such that α + β = 6 and αβ = 4 then write the polynomial.

योग
Advertisements

उत्तर

If the zeros of the quadratic polynomial are 𝛼 and 𝛽 then the quadratic polynomial can be found as x2 – (α + β)x + αβ   ...(1) 

Substituting the values in (1), we get 

x2 – 6x + 4

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Polynomials - EXERCISE 2C [पृष्ठ ६६]

APPEARS IN

आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 2 Polynomials
EXERCISE 2C | Q 4. | पृष्ठ ६६

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 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 one zero of the quadratic polynomial kx2 + 3x + k is 2, then find the value of k.


Write the zeros of the polynomial f(x) = x2 – x – 6.


If α, β are the zeroes of the polynomial f(x) = x2 – 5x + k such that α – β = 1, find the value of k = ?


If α and β are the zeros of the polynomial f(x) = 6x2 + x – 2, find the value of  `(α/β + α/β)`.


If the zeroes of the polynomial f(x) = x3 – 3x2 + x + 1 are (a – b), a and (a + b), find the values of a and b.


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


If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of the
other two zeroes is ______.


The zeroes of the quadratic polynomial x2 + 99x + 127 are ______.


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


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


If 4x² – 6x – m is divisible by x – 3, the value of m is exact divisor of ______.


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 zeroes of the polynomial 3x2 + 11x – 4 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×