Advertisements
Advertisements
प्रश्न
Define degree of a polynomial.
उत्तर
The exponent of the highest degree term in a polynomial is known as its degree.
In other words, the highest power of x in a polynomial ` f(x)` is called the degree of the polynomial ` f(x)`.
For Example: `g(x)= 2x^2+3x+4 ` is a polynomial in the variable x of degree 2.
APPEARS IN
संबंधित प्रश्न
Classify the following polynomials as polynomials in one-variable, two variables etc:
`x^2-xy+7y^2`
Classify the following polynomials as polynomials in one-variable, two variables etc:
`t^3_3t^2+4t-5`
Classify the following polynomials as polynomials in one-variable, two variables etc:
`xy+yx+zx`
Write the standard form of a cubic polynomial with real coefficients.
The graph of the polynomial f(x) = ax2 + bx + c is as shown in Fig. 2.20. Write the value of b2 − 4ac and the number of real zeros of f(x).
State whether the given algebraic expression are polynomial? Justify.
`x^2 + 7x + 9`
Divide. Write the quotient and the remainder.
(6x5 − 4x4 + 8x3 + 2x2) ÷ 2x2
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 degree of the sum of two polynomials each of degree 5 is always 5.
If a polynomial p(x) is given by p(x) = x2 - 5x + 6, then the value of p(1) + p(4) is ______.
