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Factorization of a Quadratic Trinomial

Factorize the...

Question

Factorize the following:
20x³ − 40x² + 80x

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Solution

The greatest common factor of the terms 20x³, -40x² and 80x of the expression 20x³ - 40x² + 80x is 20x.
Now,
20x³ = 20x $\times$ x²
-40x² = 20x $\times$ -2x
and
80x = 20x $\times$ 4
Hence, the expression 20x³ - 40x² + 80x can be factorised as 20x(x² - 2x + 4).

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