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The zeros of the function are
,
, and
.
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Mind Expander
To find all zeros of the polynomial
, we can start by using synthetic division with the given factor
. By substituting
into the polynomial, we find the remainder is 0, confirming it is a factor. Then we divide
by
to get a quadratic polynomial, which can be further factored or solved using the quadratic formula.
The remaining factor can be calculated as follows: When you perform synthetic division, you find the resulting polynomial is
. Now, setting this equal to zero gives us the remaining zeros. Solving
leads to
so
.
In total, the zeros of the polynomial
are
. Happy zero-hunting!