Answer:
14
Explanation:
You want the value of f(-1) when f(x) = -4x³ +3x² +7.
Synthetic division
Finding the value of f(-1) is the same as finding the remainder from division by (x+1). The attached synthetic division tableau shows the result is 14.
f(-1) = 14
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Additional comment
The "entry in the left part of the table" is the value of x for which you want f(x).
This process is equivalent to evaluating the function written in Horner form:
f(x) = ((-4x +3)x)x +7
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