Advertisements
Advertisements
प्रश्न
Divide:
x2 − 5x + 6 by x − 3
Advertisements
उत्तर
\[\frac{x^2 - 5x + 6}{x - 3}\]
\[ = \frac{x^2 - 3x - 2x + 6}{x - 3}\]
\[ = \frac{x(x - 3) - 2(x - 3)}{(x - 3)}\]
\[ = \frac{(x - 3)(x - 2)}{(x - 3)}\]
\[ = x - 2\]
संबंधित प्रश्न
Write the degree of each of the following polynomials.
Which of the following expressions are not polynomials?
Write each of the following polynomials in the standard form. Also, write their degree.
Divide 72xyz2 by −9xz.
Divide 2y5 + 10y4 + 6y3 + y2 + 5y + 3 by 2y3 + 1.
Divide 6x3 − x2 − 10x − 3 by 2x − 3 and find the quotient and remainder.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15z3 − 20z2 + 13z − 12 | 3z − 6 |
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
Divide:
Divide: −14x6y3 − 21x4y5 + 7x5y4 by 7x2y2
