Advertisements
Advertisements
प्रश्न
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
y4 + y2, y2 − 2
Advertisements
उत्तर
\[\frac{y^4 + y^2}{y^2 - 2}\]
\[ = \frac{y^2 ( y^2 - 2) + 3( y^2 - 2) + 6}{y^2 - 2}\]
\[ = \frac{( y^2 - 2)( y^2 + 3) + 6}{y^2 - 2}\]
\[ = ( y^2 + 3) + \frac{6}{y^2 - 2}\]
\[\text{Therefore, quotient} = y^2 + 3 \text{and remainder} = 6 .\]
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
Write the degree of each of the following polynomials.
5x2 − 3x + 2
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 −72a4b5c8 by −9a2b2c3.
Simplify:\[\frac{16 m^3 y^2}{4 m^2 y}\]
Divide 3y4 − 3y3 − 4y2 − 4y by y2 − 2y.
Divide x4 − 2x3 + 2x2 + x + 4 by x2 + x + 1.
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
x4 − x3 + 5x, x − 1
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
