The H.C.F. of two expressions is x and their L.C.M is $x^{3} - 9 x$ IF one of the expression is $x^{2} + 3 x$ then,the other expression is

x^{2} - 3 x

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x^{3} - 3 x

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x^{2} + 9 x

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x^{2} - 9 x

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Solution

The correct option is A $x^{2} - 3 x$
Let two expressions $p (x)$ and $q (x)$ then
$p (x) \times q (x) = L . C . M . \times H . C . F .$

Since $p (x) = x^{2} + 3 x$
$(x^{2} + 3 x) \times q (x) = (x^{3} - 9 x) \times x$
$(x^{2} + 3 x) \times q (x) = (x^{2} - 3 x) \times (x^{2} + 3 x)$

$q (x) = (x^{2} - 3 x)$
Hence, this is the required solution.

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Similar questions

x^{3} - 9 x

x^{2} + 3 x

x^{3} - 9 x

x^{2} + 3 x

The H.C.F. and L.C.M. of two expression are (x − 3) and (x³ − 5x² − 2x + 24) respectively. If one of the expression is (x² − 7x + 12) find the other.

(x^{2} + 6 x + 8) (x + 1)

(x + 1)

x^{2} + 3 x + 2

(x - 3)

(x^{3} - 5 x^{2} - 2 x + 24)

(x^{2} - 7 x + 12)

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