The required polynomial is: with zeros of -3,-1, and 4
and f(-2) ≠ 12 while it is equal to f(-2)=6
Step-by-step explanation:
We need to find the polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=-12
Since zeros of polynomials are -3,-1 and 4
we can write x =-3 , x=-1 and x=4
or
x+3=0, x+1=0, x-4=0
Multiplying first two terms, and then multiplying their result with third term:
So, the polynomial of degree 3 is with zeros of -3,-1, and 4
Now, checking that f(-2)=-12
So, f(-2) ≠ -12
Keywords: Polynomial
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