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Question
Which of the following expressions are not polynomials?
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Solution
\[3 y^3 - \sqrt{5}y + 9\ \text{is a polynomial because the powers of variable y are non negative integers .} \]
RELATED QUESTIONS
Write the degree of each of the following polynomials.
Write each of the following polynomials in the standard form. Also, write their degree.
a2 + 4 + 5a6
Divide x4 + x2 + 1 by x2 + x + 1.
Divide x5 + x4 + x3 + x2 + x + 1 by x3 + 1.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
Using division of polynomials, state whether
3y2 + 5 is a factor of 6y5 + 15y4 + 16y3 + 4y2 + 10y − 35
Using division of polynomials, state whether
z2 + 3 is a factor of z5 − 9z
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
10x2 − 7x + 8, 5x − 3
Divide 24(x2yz + xy2z + xyz2) by 8xyz using both the methods.
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
