Advertisements
Advertisements
Question
Classify the following as a constant, linear, quadratic and cubic polynomials:
4 – 5y2
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 y = 2.
The highest power of the variable y in the given expression = 2
Hence, the degree of the polynomial = 2
Since it is a polynomial of degree 2, it is a quadratic polynomial.
APPEARS IN
RELATED QUESTIONS
For what value of k, is 3 a zero of the polynomial 2x2 + x + k?
If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeros are coincident. (True/False).
If f(x) is a polynomial such that f(a) f(b) < 0, then what is the number of zeros lying between a and b?
If the diagram in Fig. 2.22 shows the graph of the polynomial f(x) = ax2 + bx + c, then
Divide. Write the quotient and the remainder.
(2y3 + 4y2 + 3) ÷ 2y2
Divide. Write the quotient and the remainder.
(21x4 − 14x2 + 7x) ÷ 7x3
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:
Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.
The graph of parabola opens upwards, if:
`sqrt(2)` is a polynomial of degree ______.
Classify the following as a constant, linear, quadratic and cubic polynomials:
`sqrt(2)x - 1`
