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)
संबंधित प्रश्न
Write the degree of each of the following polynomials.
Which of the following expressions are not polynomials?
Write each of the following polynomials in the standard form. Also, write their degree.
x2 + 3 + 6x + 5x4
Simplify:\[\frac{16 m^3 y^2}{4 m^2 y}\]
Simplify:\[\frac{32 m^2 n^3 p^2}{4mnp}\]
Divide 3x3y2 + 2x2y + 15xy by 3xy.
Divide x2 + 7x + 12 by x + 4.
Divide x5 + x4 + x3 + x2 + x + 1 by x3 + 1.
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 |
Find whether the first polynomial is a factor of the second.
4x2 − 5, 4x4 + 7x2 + 15
