Advertisements
Advertisements
प्रश्न
Divide the given polynomial by the given monomial.
8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
Advertisements
उत्तर
8(x3y2z2 + x2y3z2 + x2y2z3) = 8x2y2z2(x + y + z)
= 8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
= ` (8 (x^3 y^2z^2 + x^2 y^3 z^2 + x^2 y^2 z^3))/(4x^2y^2z^2)`
= `(8x^2y^2z^2 (x + y + z))/(4x^2y^2z^2)`
= 2 (x + y + z)
APPEARS IN
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(3y8 − 4y6 + 5y4) ÷ y4
Write the degree of each of the following polynomials.
2x + x2 − 8
Write the degree of each of the following polynomials.
Divide 6x3y2z2 by 3x2yz.
Divide 5z3 − 6z2 + 7z by 2z.
Divide\[\sqrt{3} a^4 + 2\sqrt{3} a^3 + 3 a^2 - 6a\ \text{by}\ 3a\]
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 4y3 + 8y + 8y2 + 7 | 2y2 − y + 1 |
Using division of polynomials, state whether
x + 6 is a factor of x2 − x − 42
Divide:
ax2 − ay2 by ax + ay
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.
