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प्रश्न
Determine the degree of the following polynomial:
x3 – 9x + 3x5
उत्तर
Degree of polynomial x3 – 9x + 3x5 is five, because the maximum exponent of x is five.
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संबंधित प्रश्न
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
`3x-2`
Classify the following polynomials as polynomials in one-variable, two variables etc:
`xy+yx+zx`
In Fig. 2.17, the graph of a polynomial p(x) is given. Find the zeros of the polynomial.
The graph of a polynomial y = f(x), shown in Fig. 2.18. Find the number of real zeros of f(x).
If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeros are coincident. (True/False).
If α, β are the zeros of the polynomial f(x) = x2 + x + 1, then \[\frac{1}{\alpha} + \frac{1}{\beta} =\]
If α, β are the zeros of polynomial f(x) = x2 − p (x + 1) − c, then (α + 1) (β + 1) =
State whether the given algebraic expression is polynomial. Justify.
`2m^(-2) + 7m - 5`
Divide. Write the quotient and the remainder.
(25m4 − 15m3 + 10m + 8) ÷ 5m3
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?
