Advertisements
Advertisements
प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Advertisements
उत्तर
\[( y^3 - 2)( y^3 + 11) = y^6 + 9 y^3 - 22\]
\[\text{Standard form of thegiven polynomial can be expressed as:} \]
\[( y^6 + 9 y^3 - 22) or ( - 22 + 9 y^3 + y^6 )\]
\[\text{The degree of the polynomial is 6 .} \]
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.
x2 + 3 + 6x + 5x4
Write each of the following polynomials in the standard form. Also, write their degree.
Write each of the following polynomials in the standard form. Also, write their degree.
Divide −4a3 + 4a2 + a by 2a.
Divide x4 + x2 + 1 by x2 + x + 1.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 34x − 22x3 − 12x4 − 10x2 − 75 | 3x + 7 |
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
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.
