Advertisements
Advertisements
Question
Divide. Write the quotient and the remainder.
(5x3 − 3x2) ÷ x2
Solution
(5x3 − 3x2) ÷ x2
= \[\frac{5 x^3 - 3 x^2}{x^2}\]
=\[\frac{x^2 \left( 5x - 3 \right)}{x^2}\]
= 5x - 3
So, quotient = 5x - 3 and remainder = 0
RELATED QUESTIONS
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
`2x+x^2`
If (x + a) is a factor of 2x2 + 2ax + 5x + 10, find a.
If α, β are the zeros of the polynomial p(x) = 4x2 + 3x + 7, then \[\frac{1}{\alpha} + \frac{1}{\beta}\] is equal to
If f(x) = ax2 + bx + c has no real zeros and a + b + c = 0, then
Divide. Write the quotient and the remainder.
(6x5 − 4x4 + 8x3 + 2x2) ÷ 2x2
Identify the following expression is polynomial. If not give reason:
x2(x – 1)
Identify the following expression is polynomial. If not give reason:
`"m"^2 - root(3)("m") + 7"m" - 10`
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:
Classify the following as a constant, linear, quadratic and cubic polynomials:
4 – 5y2
Classify the following as a constant, linear, quadratic and cubic polynomials:
1 + x + x2