X -2 is the factor ofA- x2-3B- x2-1C- x2-5D- x2-4

The correct option is D x^2 4 x^2 4 = (x 2) (x+2) ⇒ x 2 is the factor of x^2 4 ...

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Standard X

Mathematics

Factor of a Polynomial

x -2 is the f...

Question

x-2 is the factor of ___

$x^{2} - 3$

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$x^{2} - 1$

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$x^{2} - 5$

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$x^{2} - 4$

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Solution

The correct option is D
$x^{2} - 4$

$x^{2} - 4 = (x - 2) (x + 2)$

$\Rightarrow$ x-2 is the factor of $x^{2} - 4$

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Similar questions

Q. If x + 2 is a factor of x² + ax + 2b and a + b = 4, then

(a) a= 1, b = 3
(b) a = 3, b = 1
(c) a = −1, b = 5
(d) a = 5, b = −1

The second degree factors of x⁴ – 5x² - 24 are

Q. One factor of x⁴ + x² − 20 is x² + 5. The other factor is

(a) x² − 4

(b) x − 4

(c) x² − 5

(d) x + 2

Which of the following expressions is a polynomial ?
(a) $\sqrt{x} - 1$
(b) $\frac{x - 1}{x + 1}$
(c) $x^{2} - \frac{2}{x^{2}} + 5$
(d) $x^{2} + \frac{2 x^{\frac{3}{2}}}{\sqrt{x}} + 6$

Q. When we factorize

x^{2} + 3 x + 2

, ____ is one of the factors.

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x-2 is the factor of ___

The correct option is D x2−4 x2−4=(x−2)(x+2) ⇒ x-2 is the factor of x2−4

The correct option is D
$x^{2} - 4$

$x^{2} - 4 = (x - 2) (x + 2)$

$\Rightarrow$ x-2 is the factor of $x^{2} - 4$