Advertisements
Advertisements
प्रश्न
If the product of zeros of the polynomial f(x) ax3 − 6x2 + 11x − 6 is 4, then a =
पर्याय
\[\frac{3}{2}\]
\[- \frac{3}{2}\]
\[\frac{2}{3}\]
\[- \frac{2}{3}\]
\[- \frac{2}{3}\]
उत्तर
Since `alpha` and`beta` are the zeros of quadratic polynomial f(x) ax3 − 6x2 + 11x − 6
`alpha + ß = - (text{coefficient of x})/(text{coefficient of } x^2)`
So we have
`4 = ((-6)/a)`
`4 = 6/a`
`4a=6`
`a = 6/4`
`a= (3xxcancel(2))/(2xxcancel(2))`
`a = 3/2`
The value of a is `3/2`
Hence, the correct alternative is (a).
APPEARS IN
संबंधित प्रश्न
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
`x+x^2 +4`
Classify the following polynomials as polynomials in one-variable, two variables etc:
`x^2-2tx+7t^2-x+t`
Classify the following polynomials as polynomials in one-variable, two variables etc:
`xy+yx+zx`
Define the zero of a polynomial.
For what value of k, is −3 a zero of the polynomial x2 + 11x + k?
Divide. Write the quotient and the remainder.
(6x5 − 4x4 + 8x3 + 2x2) ÷ 2x2
Which of the following is not the graph of quadratic polynomial?
The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
The graph of x2 + 1 = 0
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 graph of parabola opens upwards, if:
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.
Observe the following graph and answer.
In the above graph, how many zeroes are there for the polynomial?
