(Solved): Use the remainder theorem to find \( P(1) \) for \( P(x)=-2 x^{4}+4 x^{3}+6 x^{2}-8 \). Specificall ...

Use the remainder theorem to find \( P(1) \) for \( P(x)=-2 x^{4}+4 x^{3}+6 x^{2}-8 \). Specifically, give the quotient and the remainder for the associated division and the value of \( P(1) \). For the polynomial below, 3 and 1 are zeros. \[ f(x)=x^{4}-2 x^{3}-6 x^{2}+10 x-3 \] Express \( f(x) \) as a product of linear factors.