H.C.F of x² + 3x + 2 and x² - 2x - 3 is : 1. (x + 1) 2. (x + 1)(x + 2)(x - 3) 3. 1 4. none of these

Given, x2 + 3x + 2 and x2 - 2x - 3 The factors of x2 + 3x + 2 ⇒ x2 + 2x + x + 2 ⇒ x(x + 2) + 1(x + 2) ⇒ (x + 2)(x + 1) The factors of x2 - 2x - 3 ⇒ x2 - 3x + x - 3 ⇒ x(x - 3) + 1(x - 3) ⇒ (x - 3)(x + 1) H.C.F. = (x + 1) Hence, option 1 is the correct option.

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Mathematics

H.C.F of x² + 3x + 2 and x² - 2x - 3 is :
(x + 1)
(x + 1)(x + 2)(x - 3)
1
none of these

Factorisation

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Answer

Given, x² + 3x + 2 and x² - 2x - 3

The factors of x² + 3x + 2

⇒ x² + 2x + x + 2

⇒ x(x + 2) + 1(x + 2)

⇒ (x + 2)(x + 1)

The factors of x² - 2x - 3

⇒ x² - 3x + x - 3

⇒ x(x - 3) + 1(x - 3)

⇒ (x - 3)(x + 1)

H.C.F. = (x + 1)

Hence, option 1 is the correct option.

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Mathematics

H.C.F of x² + 3x + 2 and x² - 2x - 3 is :
(x + 1)
(x + 1)(x + 2)(x - 3)
1
none of these

Factorisation

Answer

Related Questions

$\dfrac{(a + b)(a^2 - ab + b^2)}{(a^2b + ab^2)}$ in simplest form is equal to:
$\dfrac{a}{b} - 1 + \dfrac{b}{a}$
$\dfrac{a^3 - b^3}{a^2b + ab^2}$
$\dfrac{a^2 + b^2}{ab}$
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L.C.M. of x² + 3x + 2 and x² - 2x - 3 in simplest form is:
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(3a - 1)² - 6a + 2 is equal to:
(3a - 1)(a - 1)
3(3a - 1)(a - 1)
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$\dfrac{1}{3}$ x² - 2x - 9 is equal to:
$\dfrac{1}{3}$ (x - 9)(x + 3)
$\dfrac{1}{3}$ (x - 9)(x - 3)
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$\dfrac{1}{3}$ (x + 9)(x + 3)

Mathematics

H.C.F of x2 + 3x + 2 and x2 - 2x - 3 is :(x + 1)(x + 1)(x + 2)(x - 3)1none of these

Factorisation

Answer

Related Questions

(a+b)(a2−ab+b2)(a2b+ab2)\dfrac{(a + b)(a^2 - ab + b^2)}{(a^2b + ab^2)}(a2b+ab2)(a+b)(a2−ab+b2)​ in simplest form is equal to:ab−1+ba\dfrac{a}{b} - 1 + \dfrac{b}{a}ba​−1+ab​a3−b3a2b+ab2\dfrac{a^3 - b^3}{a^2b + ab^2}a2b+ab2a3−b3​a2+b2ab\dfrac{a^2 + b^2}{ab}aba2+b2​none of these

L.C.M. of x2 + 3x + 2 and x2 - 2x - 3 in simplest form is:(x + 1)2(x + 2)(x + 3)(x2 + 3x + 2)(x2 - 2x - 3)(x + 1)(x + 2)(x - 3)none of these

(3a - 1)2 - 6a + 2 is equal to:(3a - 1)(a - 1)3(3a - 1)(a - 1)(3a - 1)(a + 1)3(3a - 1)(a + 1)

13\dfrac{1}{3}31​ x2 - 2x - 9 is equal to:13\dfrac{1}{3}31​ (x - 9)(x + 3)13\dfrac{1}{3}31​ (x - 9)(x - 3)13\dfrac{1}{3}31​ (x + 9)(x - 3)13\dfrac{1}{3}31​ (x + 9)(x + 3)

H.C.F of x² + 3x + 2 and x² - 2x - 3 is :
(x + 1)
(x + 1)(x + 2)(x - 3)
1
none of these

$\dfrac{(a + b)(a^2 - ab + b^2)}{(a^2b + ab^2)}$ in simplest form is equal to:
$\dfrac{a}{b} - 1 + \dfrac{b}{a}$
$\dfrac{a^3 - b^3}{a^2b + ab^2}$
$\dfrac{a^2 + b^2}{ab}$
none of these

L.C.M. of x² + 3x + 2 and x² - 2x - 3 in simplest form is:
(x + 1)²(x + 2)(x + 3)
(x² + 3x + 2)(x² - 2x - 3)
(x + 1)(x + 2)(x - 3)
none of these

(3a - 1)² - 6a + 2 is equal to:
(3a - 1)(a - 1)
3(3a - 1)(a - 1)
(3a - 1)(a + 1)
3(3a - 1)(a + 1)

$\dfrac{1}{3}$ x² - 2x - 9 is equal to:
$\dfrac{1}{3}$ (x - 9)(x + 3)
$\dfrac{1}{3}$ (x - 9)(x - 3)
$\dfrac{1}{3}$ (x + 9)(x - 3)
$\dfrac{1}{3}$ (x + 9)(x + 3)