Question

determine whether x-3 is a factor of x³-4x²+x+6​

Answer 1

Here it is....... ☘☘☘☘

Finding zeroes of (x-3). -

x-3=0

x=3

Now, putting the value..

= x^3-4x^2+x+6

= (3) ^3-4(3) ^2+(3) +6

=27-36+3+6=0

Yes, it is a factor of it.

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Answer 2

x-3=0

x=3

p (x)=x^3-4x^2+x+6

p (3)=(3)^3-4×(3)^2+3+6

=27-(4×9)+3+6

=27-36+3+6

=36-36

=0

Yes,x-3 is a factor of x^3-4x^2+x+6

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