Answer
$B=5$
Work Step by Step
We are given:
$f(x)=3x^{2}-Bx+4$ and $f(-1)=12$
We solve for $B$:
$f(-1)=3(-1)^{2}-B(-1)+4$
$f(-1)=3+B+4$
$f(-1)=7+B$
$12=7+B$
$B=5$
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