मराठी

Write the Zeros of the Polynomial `F(X) = X^2 – X – 6`.

Advertisements
Advertisements

प्रश्न

Write the zeros of the polynomial `f(x) = x^2 – x – 6`. 

 

Advertisements

उत्तर

`f(x) = x^2 – x – 6`
`= x^2 – 3x + 2x – 6`
`= x(x – 3) + 2(x – 3)`
`= (x – 3) (x + 2)`
`f(x) = 0 ⇒ (x – 3) (x + 2) = 0` 

`⇒ (x – 3) = 0 or (x + 2) = 0`
`⇒ x = 3 or x = –2`
So, the zeroes of f(x) are 3 and –2.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Polynomials - Exercises 3

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).


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


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


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


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


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 the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k..


Find the zeroes of the quadratic polynomial `f(x) = 6x^2 – 3.` 

 


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


If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as ______.


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


The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 ______.


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


If α and β are the zeroes of the polynomial x2 – 1, then the value of (α + β) is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×