Advertisements
Advertisements
Question
Identify the following expression is polynomial. If not give reason:
`sqrt(5)x^2 + sqrt(3)x + sqrt(2)`
Solution
`sqrt(5)x^2 + sqrt(3)x + sqrt(2)` is a polynomial.
APPEARS IN
RELATED QUESTIONS
The sum and product of the zeros of a quadratic polynomial are \[- \frac{1}{2}\] and −3 respectively. What is the quadratic polynomial.
If α, β are the zeros of the polynomial 2y2 + 7y + 5, write the value of α + β + αβ.
If f(x) is a polynomial such that f(a) f(b) < 0, then what is the number of zeros lying between a and b?
If α, β are the zeros of the polynomial f(x) = x2 + x + 1, then \[\frac{1}{\alpha} + \frac{1}{\beta} =\]
Divide. Write the quotient and the remainder.
(−48p4) ÷ (−9p2)
Identify the following expression is polynomial. If not give reason:
`1/(x^(-2)) + 1/(x^(-1)) + 7`
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.
Rita’s height (in feet) above the water level is given by another polynomial p(t) with zeroes -1 and 2. Then p(t) is given by ______.
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:
The value of the polynomial 5x – 4x2 + 3, when x = –1 is ______.
Determine the degree of the following polynomial:
x3 – 9x + 3x5
