asked 4.6k views
4 votes
Find the zeros of polynomial function and solve polynomials equations.
f(x)=24x^3-64x^2-21x+56

1 Answer

5 votes

Since this polynomial has 4 terms, factoring by grouping should be the first thing we try here.

So, we have:


image

So, we can use ZPP to find out roots:


image

So our three roots are:


x \in \{(8)/(3),(√(56))/(8),-(√(56))/(8)\}

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