Advertisements
Advertisements
Question
Divide: −14x6y3 − 21x4y5 + 7x5y4 by 7x2y2
Advertisements
Solution
`(-14"x"^6"y"^3-21"x"^4"y"^5 +7"x"^5"y"^4) /(7"x"^2"y"^2)`
`=(-14"x"^6"y"^3)/(7"x"^2"y"^2)-(21"x"^4)/(7"x"^2"y"^2)+(7"x"^5"y"^4)/(7"x"^2"y"^2)`
= −2x6−2y3−2 −3x4−2y5−2 + x5−2y4−2
= −2x4y − 3x2y3 + x3y2
APPEARS IN
RELATED QUESTIONS
Write the degree of each of the following polynomials.
Which of the following expressions are not polynomials?
Divide 4z3 + 6z2 − z by −\[\frac{1}{2}\]
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15z3 − 20z2 + 13z − 12 | 3z − 6 |
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.
4x2 − 5, 4x4 + 7x2 + 15
Divide 24(x2yz + xy2z + xyz2) by 8xyz using both the methods.
7ab3 ÷ 14ab = 2b2
Divide: 81(p4q2r3 + 2p3q3r2 – 5p2q2r2) by (3pqr)2
The denominator of a fraction exceeds Its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, we get `3/2`. Find the original fraction.
