Question

determine whether x-4 is a factor of x³- 4x²-4x+16 by using factor theorem​

Answer 1

1987

Step-by-step explanation:

7791(8999)

56326=90123

1987

Answer 2

$\\ \\ \\ \\ to \: \: check \: \: whether \: \: (x - 4) \: \: is \\ a \: \: factor \: \: of \: \: ( {x}^{3} - 4 {x}^{2} - 4x + 16) \\ \\ \\ we \: \: need \: \: to \: \: divide \: \: it \\ \\ \\ on \: \: dividing \: \: we \: \: get \: \: the \: \: quotient \\ \: \: as \: \: ( {x}^{2} - 4) \: \: \\ \\ \\ \: and \: \\ \\ \\ the \: \: remainder \: \: \\ we \: \:g et \: \: \\ it \: \: as \: \: zero(0). \\ \\ \\ since \: \: we \: \: get \: \: the \: \: \\ \\ remainder \: \: as \: \: zero \: \ \\ or \: \: \\ \\ since \: \: we \: \: see \: \: that \: \: th e\: \: \\ number \: \: is \: \: perfectly \: \: divisible \: \\ by \: \: the \: \: divident \: \: \\ we \: \: understand \: \: that \\ \\ \\ \: \: yes \: \: the \: \: number \: \: (x - 4) \: \: is \: \\ \\ perfectly\: \: divisible \: \: by \: ( {x}^{3} - 4 {x}^{2} - 4x + 16) \\ \ \\ \\ \\ \ \\ see \: \: the \: \: attachment \: \: solution \: \\ \\ is \: attached$