Advertisements
Advertisements
प्रश्न
Write the family of quadratic polynomials having \[- \frac{1}{4}\] and 1 as its zeros.
उत्तर
We know that, if `x=a` is a zero of a polynomial then `x-2` is a factor of quadratic polynomials.
Since `(-1)/4`and 1 are zeros of polynomial.
Therefore `(x+1/4)(x - 1)`
`= x^2 + 1/4x-x - 1/4`
`= x^2+ 1/2 x -(1xx4)/(1xx4)x-1/4`
`= x^2 +(1-4)/4x -1/4`
`= x^2-3/4x-1/4`
Hence, the family of quadratic polynomials is `f(x)= k(x^2-3/4x-1/4)`, where k is any non-zero real number
APPEARS IN
संबंधित प्रश्न
Classify the following polynomials as polynomials in one-variable, two variables etc:
`x^2-xy+7y^2`
Define degree of a polynomial.
For what value of k, is −3 a zero of the polynomial x2 + 11x + k?
If one zero of the polynomial f(x) = (k2 + 4)x2 + 13x + 4k is reciprocal of the other, then k=
Figure 2.23 show the graph of the polynomial f(x) = ax2 + bx + c for which
If Q.No. 14, c =
Divide. Write the quotient and the remainder.
(−48p4) ÷ (−9p2)
Which of the following is not the graph of quadratic polynomial?
Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.
The three zeroes in the below shown graph are:
Classify the following as a constant, linear, quadratic and cubic polynomials:
3
