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प्रश्न
Write the standard form of a cubic polynomial with real coefficients.
उत्तर
The most general form of a cubic polynomial with coefficients as real numbers is of the form `f(x) = ax^3 + bx^2 + cx +d`, where `a,b,c,d` are real number and `a ≠ 0`
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संबंधित प्रश्न
If x = 3 is one root of the quadratic equation x2 – 2kx – 6 = 0, then find the value of k.
Write the standard form of a linear polynomial with real coefficients.
Write the family of quadratic polynomials having \[- \frac{1}{4}\] and 1 as its zeros.
Write a quadratic polynomial, sum of whose zeros is \[2\sqrt{3}\] and their product is 2.
Identify the following expression is polynomial. If not give reason:
x2(x – 1)
Let the polynomials be
(A) −13q5 + 4q2 + 12q
(B) (x2 + 4)(x2 + 9)
(C) 4q8 – q6 + q2
(D) `– 5/7 y^12 + y^3 + y^5`
Then ascending order of their degree is
The number of polynomials having zeroes as 4 and 7 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.
What is the value of k?
An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses. In the figure, one can observe that poses can be related to representation of quadratic polynomial.
The shape of the poses shown is:
Classify the following as a constant, linear, quadratic and cubic polynomials:
3x3
