рд╣рд┐рдВрджреА

If ЁЭЫ╝ and ЁЭЫ╜ be the zeroes of the polynomial 2тБвЁЭСе2 тИТ7тБвЁЭСе +ЁЭСШ write the value of (ЁЭЫ╝ + ЁЭЫ╜ + ЁЭЫ╝ЁЭЫ╜).

Advertisements
Advertisements

рдкреНрд░рд╢реНрди

If ЁЭЫ╝ and ЁЭЫ╜ be the zeroes of the polynomial `2x^2 - 7x + k` write the value of (ЁЭЫ╝ + ЁЭЫ╜ + ЁЭЫ╝ЁЭЫ╜).

рдпреЛрдЧ
Advertisements

рдЙрддреНрддрд░

By using the relationship between the zeroes of the quadratic polynomial.
We have  

Sum of zeroes = `(-("Coefficient of x"))/("Coefficient of "x^2)` 

Product of zeroes =`("Constant term")/("Coefficient of "x^2)` 

a = 2, b = −7, and c = k

∴ ∝+ β = `(-b)/c`

= `(-(-7))/2`

= `7/2`

∝β = `c/a`

= `k/2` 

Now, ЁЭЫ╝ + ЁЭЫ╜ + ЁЭЫ╝ЁЭЫ╜ = `7/2 + k/2`

= `(7 + k)/2`

shaalaa.com
  рдХреНрдпрд╛ рдЗрд╕ рдкреНрд░рд╢реНрди рдпрд╛ рдЙрддреНрддрд░ рдореЗрдВ рдХреЛрдИ рддреНрд░реБрдЯрд┐ рд╣реИ?

рд╡реАрдбрд┐рдпреЛ рдЯреНрдпреВрдЯреЛрд░рд┐рдпрд▓VIEW ALL [5]

рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНрди

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


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 the quotient and the remainder when f(x) = x3 – 3x2 + 5x – 3 is divided by g(x) = x2 – 2.


Find the zeros of the polynomial x2 + x – p(p + 1).


If –4 is a zero of the polynomial x2 – 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 one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of the
other two zeroes is ______.


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 ______.


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


The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.


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


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


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


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


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 ______.


The given linear polynomial y = f(x) has


Share
Notifications

Englishрд╣рд┐рдВрджреАрдорд░рд╛рдареА


      Forgot password?
Use app×