The factorized form for the given polynomials are:
8. 5n(3n² - 4).
10. x²(x - 8).
11. 4x(2x² - 3x + 10).
12. 6x³(1 + 5x).
13. 2w(w² + 3w - 18).
14. 3c²(4c - 1).
15. 2x(x + 3 - 80).
In the question, we are asked to factor the given polynomials.
8. 15n³ - 20n.
The given polynomial is 15n³ - 20n.
The terms are 15n³ and - 20n.
The HCF of the terms is 5n.
Taking the HCF common in the given polynomial, we get 5n(3n² - 4), which is the required form.
Going by the same method, the errors will have a solution as:-
10. x³ - 8x².
The factorized form is x²(x - 8).
11. 8x³ - 12x² + 40x.
Factorized form is 4x(2x² - 3x + 10).
12. 6x³ + 30x⁴.
The factorized form is 6x³(1 + 5x).
13. 2w³ + 6w² - 36w.
The factorized form is 2w(w² + 3w - 18).
14. 12c³ - 3c².
The factorized form is 3c²(4c - 1).
15. 2x² + 6x - 80.
The factorized form is 2x(x + 3 - 80).
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