Advertisements
Advertisements
Question
Write each of the following polynomials in the standard form. Also, write their degree.
a2 + 4 + 5a6
Solution
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[(5 a^6 + a^2 + 4) or (4 + a^2 + 5 a^6 ) \]
\[\text{The degree of the polynomial is 6 .} \]
APPEARS IN
RELATED QUESTIONS
Divide the given polynomial by the given monomial.
(5x2 − 6x) ÷ 3x
Divide the given polynomial by the given monomial.
(3y8 − 4y6 + 5y4) ÷ y4
Divide the given polynomial by the given monomial.
8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
Write each of the following polynomials in the standard form. Also, write their degree.
Simplify:\[\frac{32 m^2 n^3 p^2}{4mnp}\]
Divide x4 − 2x3 + 2x2 + x + 4 by x2 + x + 1.
Divide 14x3 − 5x2 + 9x − 1 by 2x − 1 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 |
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
Find whether the first polynomial is a factor of the second.
2a − 3, 10a2 − 9a − 5
