Divide - 6x5-4x4-8x3-2x3- 2x2

(6x^5 4x^4+8x^3+2x^3)+2x^2 =(6x^5 4x^4+10x^3)÷ 2x^2 Taking x^2 common x^2(6x^3 4x+0)2x^2=6x^3 4x+102 =3x^3 2x+5 . ...

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Byju's Answer

Standard VIII

Mathematics

Division of a Polynomial by a Monomial

Divide : 6x...

Question

Divide : $(6 x^{5} - 4 x^{4} + 8 x^{3} + 2 x^{3}) \div 2 x^{2}$

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Solution

$(6 x^{5} - 4 x^{4} + 8 x^{3} + 2 x^{3}) + 2 x^{2}$
$= (6 x^{5} - 4 x^{4} + 10 x^{3}) \div 2 x^{2}$
Taking $x^{2}$ common
$\frac{x^{2} (6 x^{3} - 4 x + 0)}{2 x^{2}} = \frac{6 x^{3} - 4 x + 10}{2}$
$= 3 x^{3} - 2 x + 5$ .

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Similar questions

(6 x^{5} - 4 x^{4} + 8 x^{3} + 2 x^{2}) \div 2 x^{2}

Q. Divides and write the quotient and the remainder.

({6 x}^{5} - {4 x}^{4} + {8 x}^{3} + {2 x}^{2}) \div {2 x}^{2}

Divide. Write the quotient and the remainder.
(a) $(21 x^{4} - 14 x^{2} + 7 x) \div 7 x^{3}$
(b) $(6 x^{5} - 4 x^{4} + 8 x^{3} + 2 x^{2}) \div 2 x^{2}$
(c) $(25 m^{4} - 15 m^{3} + 10 m + 8) \div 5 m^{3}$

Q. Divide. Write the quotient and the remainder.
(1) 21m² ÷ 7m
(2) 40a³ ÷ (−10a)
(3) (−48p⁴) ÷ (−9p²)
(4) 40m⁵ ÷ 30m³
(5) (5x³ − 3x²) ÷ x²
(6) (8p³ − 4p²) ÷ 2p²
(7) (2y³ + 4y² + 3) ÷ 2y²
(8) (21x⁴ − 14x² + 7x) ÷ 7x³
(9) (6x⁵ − 4x⁴ + 8x³ + 2x²) ÷ 2x²
(10) (25m⁴ − 15m³ + 10m + 8) ÷ 5m³

Q. How

[4 x^{4} + 8 x^{3} + 8 x^{2} + 4 x + 1]

can be simplified to

(2 x^{2} + 2 x + 1)^{2}

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Divide : (6x5−4x4+8x3+2x3)÷2x2

(6x5−4x4+8x3+2x3)+2x2=(6x5−4x4+10x3)÷2x2Taking x2 commonx2(6x3−4x+0)2x2=6x3−4x+102=3x3−2x+5.

Divide : $(6 x^{5} - 4 x^{4} + 8 x^{3} + 2 x^{3}) \div 2 x^{2}$

$(6 x^{5} - 4 x^{4} + 8 x^{3} + 2 x^{3}) + 2 x^{2}$
$= (6 x^{5} - 4 x^{4} + 10 x^{3}) \div 2 x^{2}$
Taking $x^{2}$ common
$\frac{x^{2} (6 x^{3} - 4 x + 0)}{2 x^{2}} = \frac{6 x^{3} - 4 x + 10}{2}$
$= 3 x^{3} - 2 x + 5$ .