Advertisements
Advertisements
प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
उत्तर
\[( a^3 - \frac{3}{8})( a^3 + \frac{16}{17}) = a^6 + \frac{77}{136} a^3 - \frac{6}{17}\]
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[( a^6 + \frac{77}{136} a^3 - \frac{6}{17}) or ( - \frac{6}{17} + \frac{77}{136} a^3 + a^6 )\]
\[\text{The degree of the polynomial is 6 .} \]
APPEARS IN
संबंधित प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Divide 72xyz2 by −9xz.
Divide\[\sqrt{3} a^4 + 2\sqrt{3} a^3 + 3 a^2 - 6a\ \text{by}\ 3a\]
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
Using division of polynomials, state whether
x + 6 is a factor of x2 − x − 42
Using division of polynomials, state whether
z2 + 3 is a factor of z5 − 9z
Find whether the first polynomial is a factor of the second.
4x2 − 5, 4x4 + 7x2 + 15
Find whether the first polynomial is a factor of the second.
4y + 1, 8y2 − 2y + 1
Divide:
x4 − y4 by x2 − y2
Divide: 8x − 10y + 6c by 2
