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
\[\frac{y^4 + y^2}{y^2 - 2}\]
\[ = \frac{y^2 ( y^2 - 2) + 3( y^2 - 2) + 6}{y^2 - 2}\]
\[ = \frac{( y^2 - 2)( y^2 + 3) + 6}{y^2 - 2}\]
\[ = ( y^2 + 3) + \frac{6}{y^2 - 2}\]
\[\text{Therefore, quotient} = y^2 + 3 \text{and remainder} = 6 .\]
APPEARS IN
संबंधित प्रश्न
Which of the following expressions are not polynomials?
Divide 6x3y2z2 by 3x2yz.
Divide 15m2n3 by 5m2n2.
Divide 72xyz2 by −9xz.
Divide\[\sqrt{3} a^4 + 2\sqrt{3} a^3 + 3 a^2 - 6a\ \text{by}\ 3a\]
Divide 3x3y2 + 2x2y + 15xy by 3xy.
Divide x4 + x2 + 1 by x2 + x + 1.
Divide 6x3 − x2 − 10x − 3 by 2x − 3 and find the quotient and remainder.
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
10x2 − 7x + 8, 5x − 3
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
