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Answer :
The factored form of the polynomial 10x³ + 45x² - 25x is 5x(2x - 1)(x + 5).
How to factor polynomials?
Given the polynomials in the question:
10x³ + 45x² - 25x
To factor the polynomial 10x³ + 45x² - 25x, factor out the greatest common factor (GCF) 5x:
10x³ + 45x² - 25x
5x( 2x² + 9x - 5 )
Now, we factor the remaining quadratic expression:
2x² + 9x - 5
Factor by grouping:
2x² + 10x - x - 5
2x(x + 5) - 1(x + 5)
(2x - 1)(x + 5)
Combine all the factors:
5x(2x - 1)(x + 5)
Therefore, the factored form of the expression is 5x(2x - 1)(x + 5).
Learn more about factorization here: brainly.com/question/20293447
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