Question

check whether 3x⁴-4x³-3x+4 is a multiple (x-1) are not ( clue by only factor theroum​

Answer 1

Answer:

x-1=0

⇨x=1

f(x) =3x⁴-4x³-3x²+4

3(1)⁴-4(1)³-3(1)²+4

3-4-3+4=0

yes...

Answer 2

Answer:

$3(1) {}^{4} - 4(1) {}^{3} - 3(1) + 4 \\ = 3 - 4 - 3 + 4 = 0$

$3x {}^{4} - 4x {}^{3} - 3x + 4 \\ 3x {}^{4} - 3x {}^{3} - x {}^{3} + x {}^{2} - x {}^{2} + x - 4x + 4\\ 3x {}^{3} (x - 1) - x {}^{2} (x - 1) -x (x - 1) - 4(x - 1) \\ (x - 1)(3x {}^{3} - x {}^{2} - x - 4) \\ \\ so \: \: (x - 1) \: is \: a \: factor \: of \: the \: above \: polynomial$