Advertisements
Advertisements
Question
Divide x + 2x2 + 3x4 − x5 by 2x.
Advertisements
Solution
\[\frac{x + 2 x^2 + 3 x^4 - x^5}{2x}\]
\[ = \frac{x}{2x} + \frac{2 x^2}{2x} + \frac{3 x^4}{2x} - \frac{x^5}{2x}\]
\[ = \frac{1}{2} + x + \frac{3}{2} x^3 - \frac{1}{2} x^4 \]
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
Write each of the following polynomials in the standard form. Also, write their degree.
Divide −4a3 + 4a2 + a by 2a.
Divide\[- x^6 + 2 x^4 + 4 x^3 + 2 x^2\ \text{by} \sqrt{2} x^2\]
Using division of polynomials, state whether
4x − 1 is a factor of 4x2 − 13x − 12
Using division of polynomials, state whether
2x2 − x + 3 is a factor of 6x5 − x4 + 4x3 − 5x2 − x − 15
Find whether the first polynomial is a factor of the second.
y − 2, 3y3 + 5y2 + 5y + 2
Divide:
ax2 − ay2 by ax + ay
Divide: 15a3b4 − 10a4b3 − 25a3b6 by −5a3b2
