Advertisements
Advertisements
प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(x3 − 1)(x3 − 4)
Advertisements
उत्तर
\[( x^3 - 1)( x^3 - 4) = x^6 - 5 x^3 + 4\]
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[( x^6 - 5 x^3 + 4) or (4 - 5 x^3 + x^6 )\]
\[\text{The degree of the polynomial is 6 .} \]
संबंधित प्रश्न
Which of the following expressions are not polynomials?
Divide 4z3 + 6z2 − z by −\[\frac{1}{2}\]
Divide 6x3 − x2 − 10x − 3 by 2x − 3 and find the quotient and remainder.
Divide 30x4 + 11x3 − 82x2 − 12x + 48 by 3x2 + 2x − 4 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 |
| 14x2 + 13x − 15 | 7x − 4 |
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 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
10x2 − 7x + 8, 5x − 3
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
y4 + y2, y2 − 2
Divide: 15a3b4 − 10a4b3 − 25a3b6 by −5a3b2
