Advertisements
Advertisements
Question
Classify the following polynomials as polynomials in one-variable, two variables etc:
`xy+yx+zx`
Solution
`xy+yx+zx` is a polynomial in 3 variables `x, y, z.`
APPEARS IN
RELATED QUESTIONS
If the sum of the zeros of the quadratic polynomial f(x) = kx2 − 3x + 5 is 1, write the value of k.
For what value of k, −4 is a zero of the polynomial x2 − x − (2k + 2)?
If the product of two zeros of the polynomial f(x) = 2x3 + 6x2 − 4x + 9 is 3, then its third zero is
Which of the following is a polynomial?
Identify the following expression is polynomial. If not give reason:
`1/x^2 + 3x - 4`
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.
A polynomial q(t) with sum of zeroes as 1 and the product as -6 is modelling Anu’s height in feet above the water at any time t( in seconds). Then q(t) is given by ______.
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.
If α and `1/α` are the zeroes of the quadratic 2x2 − x + 8k, polynomial 2 then k 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.
Observe the following graph and answer.
In the above graph, how many zeroes are there for the polynomial?
Classify the following as a constant, linear, quadratic and cubic polynomials:
`5t - sqrt(7)`
Classify the following as a constant, linear, quadratic and cubic polynomials:
3