Advertisements
Advertisements
Question
Write each of the following polynomials in the standard form. Also, write their degree.
Advertisements
Solution
\[( a^3 - \frac{3}{8})( a^3 + \frac{16}{17}) = a^6 + \frac{77}{136} a^3 - \frac{6}{17}\]
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[( a^6 + \frac{77}{136} a^3 - \frac{6}{17}) or ( - \frac{6}{17} + \frac{77}{136} a^3 + a^6 )\]
\[\text{The degree of the polynomial is 6 .} \]
RELATED QUESTIONS
Divide the given polynomial by the given monomial.
(5x2 − 6x) ÷ 3x
Divide the given polynomial by the given monomial.
(p3q6 − p6q3) ÷ p3q3
Divide −72a4b5c8 by −9a2b2c3.
Divide 5x3 − 15x2 + 25x by 5x.
Divide 3x3 + 4x2 + 5x + 18 by x + 2.
Divide 14x2 − 53x + 45 by 7x − 9.
Divide 6x3 + 11x2 − 39x − 65 by 3x2 + 13x + 13 and find the quotient and remainder.
Divide 9x4 − 4x2 + 4 by 3x2 − 4x + 2 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 |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
y4 + y2, y2 − 2
