Advertisements
Advertisements
Question
Classify the following as a constant, linear, quadratic and cubic polynomials:
`sqrt(2)x - 1`
Solution
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.
Power of x = 1.
The highest power of the variable x in the given expression = 1
Hence, the degree of the polynomial = 1
Since it is a polynomial of degree 1, it is a linear polynomial.
APPEARS IN
RELATED QUESTIONS
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
`x+x^2 +4`
Write the standard form of a cubic polynomial with real coefficients.
Write a quadratic polynomial, sum of whose zeros is \[2\sqrt{3}\] and their product is 2.
If 1 is a zero of the polynomial p(x) = ax2 − 3(a − 1) x − 1, then find the value of a.
For what value of k, is −3 a zero of the polynomial x2 + 11x + k?
If α, β are the zeros of polynomial f(x) = x2 − p (x + 1) − c, then (α + 1) (β + 1) =
Which of the following is not the graph of quadratic polynomial?
The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
If the roots of the quadratic polynomial are equal, where the discriminant D = d2 – 4ac, then:
Degree of the polynomial 4x4 + 0x3 + 0x5 + 5x + 7 is ______.
The degree of the sum of two polynomials each of degree 5 is always 5.
