Advertisements
Advertisements
प्रश्न
State whether the given algebraic expression are polynomial? Justify.
`x^2 + 7x + 9`
उत्तर
In an algebraic expression, if the powers of the variables are whole numbers then the algebraic expression is a polynomial.
`x^2 + 7x + 9`
Here, the powers of the variable x are 2, 1 and 0, which are whole numbers.
∴ `x^2 + 7x + 9` is a polynomial.
APPEARS IN
संबंधित प्रश्न
A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500 km away in time, it had to increase its speed by 100 km/h from the usual speed. Find its usual speed.
Classify the following polynomials as polynomials in one-variable, two variables etc:
`x^2-xy+7y^2`
If x = 1 is a zero of the polynomial f(x) = x3 − 2x2 + 4x + k, write the value of k.
For what value of k, is 3 a zero of the polynomial 2x2 + x + k?
If the sum of the zeros of the polynomial f(x) = 2x3 − 3kx2 + 4x − 5 is 6, then the value ofk is
State whether the given algebraic expression are polynomial? Justify.
`y + 1/y`
Case Study -1
The figure given alongside shows the path of a diver, when she takes a jump from the diving board. Clearly it is a parabola.
Annie was standing on a diving board, 48 feet above the water level. She took a dive into the pool. Her height (in feet) above the water level at any time‘t’ in seconds is given by the polynomial h(t) such that h(t) = -16t2 + 8t + k.
At what time will she touch the water in the pool?
An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses. In the figure, one can observe that poses can be related to representation of quadratic polynomial.
The shape of the poses shown is:
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 shape of the path traced shown is:
Classify the following as a constant, linear, quadratic and cubic polynomials:
`sqrt(2)x - 1`