Advertisements
Advertisements
प्रश्न
Divide. Write the quotient and the remainder.
(21x4 − 14x2 + 7x) ÷ 7x3
उत्तर
(21x4 − 14x2 + 7x) ÷ 7x3
= \[\frac{21 x^4 - 14 x^2 + 7x}{7 x^3}\]
= \[\frac{7 x^3 \times 3x - 14 x^2 + 7x}{7 x^3}\]
= \[\frac{7 x^3 \times 3x}{7 x^3} + \frac{- 14 x^2 + 7x}{7 x^3}\]
= \[3x + \frac{- 14 x^2 + 7x}{7 x^3}\]
So, quotient = 3x and remainder = -14x2 + 7x
संबंधित प्रश्न
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
`3x-2`
Classify the following polynomials as polynomials in one-variable, two variables etc:
`x^2-2tx+7t^2-x+t`
Define value of polynomial at a point.
The graph of the polynomial f(x) = ax2 + bx + c is as shown in Fig. 2.20. Write the value of b2 − 4ac and the number of real zeros of f(x).
In Q. No. 14, write the sign of c.
If fourth degree polynomial is divided by a quadratic polynomial, write the degree of the remainder.
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 product of zeros of the polynomial f(x) ax3 − 6x2 + 11x − 6 is 4, then a =
If zeros of the polynomial f(x) = x3 − 3px2 + qx − r are in A.P., then
