Advertisements
Advertisements
प्रश्न
Classify the following as a constant, linear, quadratic and cubic polynomials:
y3 – y
उत्तर
Constant polynomials: The polynomial of the degree zero.
Linear polynomials: The polynomial of degree one.
Quadratic polynomials: The polynomial of degree two.
Cubic polynomials: The polynomial of degree three.
Powers of y = 3 and 1, respectively.
The highest power of the variable x in the given expression = 3
Hence, the degree of the polynomial = 3
Since it is a polynomial of degree 3, it is a cubic polynomial.
APPEARS IN
संबंधित प्रश्न
Classify the following polynomials as polynomials in one-variable, two variables etc:
`t^3_3t^2+4t-5`
Write the standard form of a linear polynomial with real coefficients.
Define the zero of a polynomial.
If the sum of the zeros of the quadratic polynomial f(x) = kx2 − 3x + 5 is 1, write the value of k.
If a quadratic polynomial f(x) is not factorizable into linear factors, then it has no real zero. (True/False)
If the product of zeros of the polynomial f(x) ax3 − 6x2 + 11x − 6 is 4, then a =
Divide. Write the quotient and the remainder.
40a3 ÷ (−10a)
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.
In the graph, how many zeroes are there for the polynomial?
For the polynomial `((x^3 + 2x + 1))/5 - 7/2 x^2 - x^6`, write the degree of the polynomial
Classify the following as a constant, linear, quadratic and cubic polynomials:
3
