Question

Examine whether x-1 is a factor of 3x³-2x²+4x+9​

Answer 1

Step-by-step explanation:

$for \: examine \\ we \: put \: x = 1 \: in \: the \: given \: equation \\ = 3(1) {}^{3} - 2(1) {}^{2} + 4(1) + 9 \\ = 3 - 2 + 4 + 9 \\ = 7 - 7 \\ = 0 \\ so \: we \: get \: 0 \: \\ hence \: proved \: that \: x - 1 \: is \: a \: factor \: of \: given \: equation$

IF YOU WANT TO KNOW HOW I PUT X=1

SO ,,

X-1=0

X=1

Answer 2

Answer:

No

Step-by-step explanation:

By using remainder theorem

Put x-1=0

x=1

Now, put x=1 in the given polynomial

3x1^3-2x1^2+4x1+9

=3-2+4+9

=14

As the remainder is not zero x-1 is not the factor of the given polynomial