मराठी

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

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).


Find the zeroes of the polynomial `f(x) = x^2 ˗ 2x ˗ 8` and verify the relation between its zeroes and coefficients


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

 

 


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


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 ______.


A quadratic polynomial, whose zeores are -4 and -5, is ______.


If x4 + 3x2 + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are ______.


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


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.


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


The given linear polynomial y = f(x) has


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×