Question

If 3x is one factor of 3x^2-9x, what is the other factor?

Answer 1

The answer is:  " (x² − 3) " .
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Explanation:
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Given:  3x² − 9x ;  factor out a "3x" ; 
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   →  3x (x² − 3) ;
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     The answer is:  " (x² − 3) " .
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Answer 2

If 3x is one factor of the given quadratic expression 3x^2-9x then the other factor will be (x² − 3).

How do find the factors of a quadratic expression?

If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

$b = \alpha + \beta \\ ac =\alpha \times \beta$

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

It is Given:  3x² − 9x ;  factor out a "3x" ;

by taking 3x common

3x (x² − 3) ;

we get  (x² − 3)

Thus, the other factor will be (x² − 3) .

Learn more about factorization of quadratic expression here:

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