Advertisements
Advertisements
Question
For the polynomial `((x^3 + 2x + 1))/5 - 7/2 x^2 - x^6`, write the coefficient of x3
Solution
The given polynomial is `((x^3 + 2x + 1))/5 - 7/2 x^2 - x^6`
The given equation can be written as,
`((x^3 + 2x + 1))/5 - 7/2x^2 - x^6 = 1/5 x^3 + 2/5x + 1/5 - 7/2 x^2 - x^6`
Hence, the coefficient of x3 in the given polynomial is `1/5`.
APPEARS IN
RELATED QUESTIONS
In Q. No. 15, write the sign of c.
Give an example of polynomials f(x), g(x), q(x) and r(x) satisfying f(x) = g(x), q(x) + r(x), where degree r(x) = 0.
If fourth degree polynomial is divided by a quadratic polynomial, write the degree of the remainder.
State whether the given algebraic expression is polynomial? Justify.
10
Divide. Write the quotient and the remainder.
40a3 ÷ (−10a)
Divide. Write the quotient and the remainder.
(−48p4) ÷ (−9p2)
Identify the following expression is polynomial. If not give reason:
x2(x – 1)
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.
In the standard form of a quadratic polynomial, ax2 + bx + c, a, b and c are:
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 shape of the path traced shown is:
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.
Observe the following graph and answer.
In the above graph, how many zeroes are there for the polynomial?
