Answer :
To find the zeros of the polynomial function:
[tex]\[ f(x) = -4x^5 - 3x^4 + 52x^3 + 39x^2 - 144x - 108 \][/tex]
we are looking for the values of [tex]\( x \)[/tex] that make [tex]\( f(x) = 0 \)[/tex].
Upon solving, the zeros of the function are found to be:
- [tex]\( x = -3 \)[/tex]
- [tex]\( x = -2 \)[/tex]
- [tex]\( x = -\frac{3}{4} \)[/tex]
- [tex]\( x = 2 \)[/tex]
- [tex]\( x = 3 \)[/tex]
These are the values of [tex]\( x \)[/tex] where the polynomial equals zero. You can check these zeros by substituting each one back into the original polynomial and ensuring the result is zero. This confirms that these are indeed the correct solutions.
[tex]\[ f(x) = -4x^5 - 3x^4 + 52x^3 + 39x^2 - 144x - 108 \][/tex]
we are looking for the values of [tex]\( x \)[/tex] that make [tex]\( f(x) = 0 \)[/tex].
Upon solving, the zeros of the function are found to be:
- [tex]\( x = -3 \)[/tex]
- [tex]\( x = -2 \)[/tex]
- [tex]\( x = -\frac{3}{4} \)[/tex]
- [tex]\( x = 2 \)[/tex]
- [tex]\( x = 3 \)[/tex]
These are the values of [tex]\( x \)[/tex] where the polynomial equals zero. You can check these zeros by substituting each one back into the original polynomial and ensuring the result is zero. This confirms that these are indeed the correct solutions.
