मराठी

If F(X) =`X^3-3x+5x-3` is Divided by G(X)=`X^2-2`

Advertisements
Advertisements

प्रश्न

If f(x) =`x^3-3x+5x-3` is divided by g(x)=`x^2-2` 

 

Advertisements

उत्तर

 

Quotient q(x) = x – 3
Remainder r(x) = 7x – 9 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Polynomials - Exercises 2

APPEARS IN

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) = x^2 + 3x ˗ 10` and verify the relation between its zeroes and coefficients. 

 

 


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 polynomial `(2x^4 – 11x^3 + 7x^2 + 13x – 7)`, it being given that two of its zeroes are `(3 + sqrt2) and (3 – sqrt2)`. 

 


If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` , write the other zero. 


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


If 𝛼 and 𝛽 be the zeroes of the polynomial `2x^2 - 7x + k` write the value of (𝛼 + 𝛽 + 𝛼𝛽).


Find the sum of the zeros and the product of zeros of a quadratic polynomial, are `−1/2` and \ -3 respectively. Write the polynomial. 


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 = ? 


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


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


If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is ______.


A polynomial of degree n has ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×