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Division of a Polynomial by a Monomial

Question 2iii...

Question

Question 2(iii)
Divide the given polynomial by the given monomial
$8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) \div 4 x^{2} y^{2} z^{2}$

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Solution

$8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) = 8 x^{2} y^{2} z^{2} (x + y + z) 8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) \div 4 x^{2} y^{2} z^{2} = \frac{8 x^{2} y^{2} z^{2} (x + y + z)}{4 x^{2} y^{2} z^{2}} = 2 (x + y + z)$

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Q. Question 2(iii)
Divide the given polynomial by the given monomial

8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) \div 4 x^{2} y^{2} z^{2}

Q. Divide the given polynomial by the given monomial.

8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) \div 4 x^{2} y^{2} z^{2}

Evaluate

$8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) \div 4 x^{2} y^{2} z^{2}$

Q. Question 2(i)
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Q. Question 2(v)
Divide the given polynomial by the given monomial

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Division of a Polynomial by a Monomial

Standard VIII Mathematics

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