Advertisements
Advertisements
Question
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Advertisements
Solution
\[( y^3 - 2)( y^3 + 11) = y^6 + 9 y^3 - 22\]
\[\text{Standard form of thegiven polynomial can be expressed as:} \]
\[( y^6 + 9 y^3 - 22) or ( - 22 + 9 y^3 + y^6 )\]
\[\text{The degree of the polynomial is 6 .} \]
APPEARS IN
RELATED QUESTIONS
Write the degree of each of the following polynomials.
5x2 − 3x + 2
Divide 3y4 − 3y3 − 4y2 − 4y by y2 − 2y.
Divide 6x3 + 11x2 − 39x − 65 by 3x2 + 13x + 13 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 |
Using division of polynomials, state whether
2x2 − x + 3 is a factor of 6x5 − x4 + 4x3 − 5x2 − x − 15
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
y4 + y2, y2 − 2
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.
4 − z, 3z2 − 13z + 4
Divide:
x4 − y4 by x2 − y2
Divide 27y3 by 3y
