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Division of a Polynomial by a Monomial

The value of ...

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Question 30

The value of $(2 x^{2} + 4) \div 2$ is
a) $2 x^{2} + 2$
b) $x^{2} + 2$
c) $x^{2} + 4$
d) $2 x^{2} + 4$

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Solution

b) $x^{2} + 2$

$\to$ We have,
$(2 x^{2} + 4) \div 2 = \frac{2 x^{2} + 4}{2} = \frac{2 (x^{2} + 2)}{2}$ [taking 2 as common]
$= x^{2} + 2$

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Similar questions

Q. Question 30

The value of

(2 x^{2} + 4) \div 2

2 x^{2} + 2

x^{2} + 2

x^{2} + 4

2 x^{2} + 4

Q. The expression x⁴ + 4 can be factorized as

(a) (x² + 2x + 2) (x² − 2x + 2)

(b) (x² + 2x + 2) (x² + 2x + 2)

(c) (x² − 2x − 2) (x²− 2x + 2)

(d) (x² + 2) (x² − 2)

The expresssion $x^{4} + 4$ can be factorized as

Subtract: 2 x^{2} + 6 - 4 x from 3 x^{2} - 6 x + 8.

2 x^{2} + 6 - 4 x

3 x^{2} - 6 x + 8

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Division of a Polynomial by a Monomial

Standard VIII Mathematics

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