Advertisements
Advertisements
प्रश्न
Divide. Write the quotient and the remainder.
21m2 ÷ 7m
उत्तर
21m2 ÷ 7m
`(21m xx m)/(7m) = 3m`
3m
`7m")"overline(21m^2)`
-21m2
0
So, quotient = 3m and remainder = 0.
संबंधित प्रश्न
The graph of a polynomial f(x) is as shown in Fig. 2.21. Write the number of real zeros of f(x).
If x = 1 is a zero of the polynomial f(x) = x3 − 2x2 + 4x + k, write the value of k.
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 f(x) = x3 + x2 − ax + b is divisible by x2 − x write the value of a and b.
If α, β are the zeros of the polynomial 2y2 + 7y + 5, write the value of α + β + αβ.
If α and β are the zeros of the polynomial f(x) = x2 + px + q, then a polynomial having \[\frac{1}{\alpha} \text{and}\frac{1}{\beta}\] is its zero is
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
Case Study -1
The figure given alongside shows the path of a diver, when she takes a jump from the diving board. Clearly it is a parabola.
Annie was standing on a diving board, 48 feet above the water level. She took a dive into the pool. Her height (in feet) above the water level at any time‘t’ in seconds is given by the polynomial h(t) such that h(t) = -16t2 + 8t + k.
At what time will she touch the water in the pool?
An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses. In the figure, one can observe that poses can be related to representation of quadratic polynomial.
The graph of parabola opens downwards, if:
If a polynomial p(x) is given by p(x) = x2 - 5x + 6, then the value of p(1) + p(4) is ______.