Advertisements
Advertisements
प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
x2 + 3 + 6x + 5x4
Advertisements
उत्तर
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[(5 x^4 + x^2 + 6x + 3) or (3 + 6x + x^2 + 5 x^4 ) \]
\[\text{The degree of the polynomial is 4 .} \]
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(p3q6 − p6q3) ÷ p3q3
Write each of the following polynomials in the standard form. Also, write their degree.
Divide 4z3 + 6z2 − z by −\[\frac{1}{2}\]
Divide 3y4 − 3y3 − 4y2 − 4y by y2 − 2y.
Divide 14x3 − 5x2 + 9x − 1 by 2x − 1 and find the quotient and remainder
Divide 30x4 + 11x3 − 82x2 − 12x + 48 by 3x2 + 2x − 4 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 |
| 34x − 22x3 − 12x4 − 10x2 − 75 | 3x + 7 |
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.
4y + 1, 8y2 − 2y + 1
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
