Advertisements
Advertisements
प्रश्न
Classify the following as a constant, linear, quadratic and cubic polynomials:
`sqrt(2)x - 1`
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.
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
संबंधित प्रश्न
If α, β are the zeros of the polynomial 2y2 + 7y + 5, write the value of α + β + αβ.
If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeros are coincident. (True/False).
If the product of zeros of the polynomial f(x) ax3 − 6x2 + 11x − 6 is 4, then a =
If the polynomial f(x) = ax3 + bx − c is divisible by the polynomial g(x) = x2 + bx + c, then ab =
Divide. Write the quotient and the remainder.
(−48p4) ÷ (−9p2)
Identify the following expression is polynomial. If not give reason:
`1/x(x + 5)`
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 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:
Determine the degree of the following polynomial:
–10
Classify the following as a constant, linear, quadratic and cubic polynomials:
y3 – y
