The value of- x-x-1-x-2-x-3-x-x-1- is -x - 2- -x - 3-x-2-x-3-x-x-1-

The correct option is A (x + 2) (x + 3) Given, x(x+ 1)(x+ 2)(x+ 3)/x(x+ 1) On cancelling the common terms x and (x+1) , we get ⇒ (x+2)(x+3) ...

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Standard VII

Mathematics

Dividing a Polynomial by a Polynomial

The value of ...

Question

The value of $\frac{x (x + 1) (x + 2) (x + 3)}{x (x + 1)}$ is __________.

(x+2)

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(x + 2) (x + 3)

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(x+3)

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x(x+1)

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Solution

The correct option is B
(x + 2) (x + 3)

Given,

$\frac{x (x + 1) (x + 2) (x + 3)}{x (x + 1)}$
On cancelling the common terms $x a n d (x + 1)$ , we get
$\Rightarrow (x + 2) (x + 3)$

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Similar questions

Q. Question 4(v)
Divide as directed

x (x + 1) (x + 2) (x + 3) \div x (x + 1)

Check whether the following are quadratic equations :
(i) ${(x + 1)}^{2} = 2 (x - 3)$
(ii) $x^{2} - 2 x = (- 2) (3 - x)$
(iii) $(x - 2) (x + 1) = (x - 1) (x + 3)$
(iv) $(x - 3) (2 x + 1) = x (x + 5)$
(v) $(2 x - 1) (x - 3) = (x + 5) (x - 1)$
(vi) $x^{2} + 3 x + 1 = {(x - 2)}^{2}$
(vii) ${(x + 2)}^{3} = 2 x (x^{2} - 1)$
(viii) $x^{3} - 4 x^{2} - x + 1 = {(x - 2)}^{3}$

Q. The factors of x³ − 7x + 6 are

(a) x (x − 6) (x − 1)

(b) (x² − 6) (x − 1)

(c) (x + 1) (x + 2) (x + 3)

(d) (x − 1) (x + 3) (x − 2)

Q. Solve each of the following quadratic equations:

(i)

\frac{x}{x - 1} + \frac{x - 1}{x} = 4 \frac{1}{4}, x \neq 0, 1

(ii)

\frac{x - 1}{2 x + 1} + \frac{2 x + 1}{x - 1} = 2, x \neq - \frac{1}{2}, 1

[CBSE 2017]

The value of $\frac{x (x + 1) (x + 2) (x + 3)}{x (x + 1)}$ is __________.

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The value of x(x+1)(x+2)(x+3)x(x+1) is __________.

The correct option is B (x + 2) (x + 3) Given, x(x+1)(x+2)(x+3)x(x+1) On cancelling the common terms x and (x+1) , we get ⇒(x+2)(x+3)

The value of $\frac{x (x + 1) (x + 2) (x + 3)}{x (x + 1)}$ is __________.

The correct option is B
(x + 2) (x + 3)

Given,

$\frac{x (x + 1) (x + 2) (x + 3)}{x (x + 1)}$
On cancelling the common terms $x a n d (x + 1)$ , we get
$\Rightarrow (x + 2) (x + 3)$