Question

Answer 1

a: \(f\left(x\right)=3x^3-2x^2-9x+2\)

\(=3x^3-6x^2+4x^2-8x-x+2\)

\(=\left(x-2\right)\left(3x^2+4x-1\right)\)
=>f(x) chia x-2 dư 0

b: \(f\left(x\right)=x^4-3x^2+2x-1\)

\(=x^4-0,5x^3+0,5x^3-0,25x^2-2,75x^2+1,375x+0,625x-0,3125\) -0,6875

=(2x-1)(\(0,5x^3+0,25x^2-1,375x+0,3125\) )-0,6875

=>Dư là -0,6875

c: \(f\left(x\right)=x^4+3x^3+2x^2-x-4\)

\(=x^4-2x^3-3x^2+5x^3-10x^2-15x+15x^2-30x-45\) +44x+41

=\(\left(x^2-2x-3\right)\left(x^2+5x+15\right)\) +44x+41

=>f(x) chia x^2-2x-3 dư 44x+41