Advertisements
Advertisements
प्रश्न
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
3x2 + 4x + 5, x − 2
Advertisements
उत्तर
\[\frac{3 x^2 + 4x + 5}{x - 2}\]
\[ = \frac{3x(x - 2) + 10(x - 2) + 25}{(x - 2)}\]
\[ = \frac{(x - 2)(3x + 10) + 25}{(x - 2)}\]
\[ = (3x + 10) + \frac{25}{(x - 2)}\]
\[\text{Therefore,} \]
\[\text{quotient = 3x + 10 and remainder = 25 .} \]
APPEARS IN
संबंधित प्रश्न
Which of the following expressions are not polynomials?
Write each of the following polynomials in the standard form. Also, write their degree.
Simplify:\[\frac{32 m^2 n^3 p^2}{4mnp}\]
Divide 3x3 + 4x2 + 5x + 18 by x + 2.
Divide 6x3 + 11x2 − 39x − 65 by 3x2 + 13x + 13 and find the quotient and remainder.
Using division of polynomials, state whether
x + 6 is a factor of x2 − x − 42
Using division of polynomials, state whether
4x − 1 is a factor of 4x2 − 13x − 12
Using division of polynomials, state whether
2x2 − x + 3 is a factor of 6x5 − x4 + 4x3 − 5x2 − x − 15
Divide: 8x − 10y + 6c by 2
The denominator of a fraction exceeds Its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, we get `3/2`. Find the original fraction.
