Advertisements
Advertisements
Question
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
`2x+x^2`
Solution
Given polynomial
`2x+x^2` is quadratic as degree of polynomial is 2.
APPEARS IN
RELATED QUESTIONS
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
`3x-2`
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials
`7t^4+4t^3+3t-2`
Write the standard form of a linear polynomial with real coefficients.
Give an example of polynomials f(x), g(x), q(x) and r(x) satisfying f(x) = g(x), q(x) + r(x), where degree r(x) = 0.
If (x + a) is a factor of 2x2 + 2ax + 5x + 10, find a.
If the product of two zeros of the polynomial f(x) = 2x3 + 6x2 − 4x + 9 is 3, then its third zero is
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?
The value of the polynomial 5x – 4x2 + 3, when x = –1 is ______.
The degree of the sum of two polynomials each of degree 5 is always 5.
For the polynomial `((x^3 + 2x + 1))/5 - 7/2 x^2 - x^6`, write the constant term
