Question

use the factor thheorom to determine whether g(x) is a factor of p(x) : p(x)=2x cube + x square - 2x - 1 , g(x)=x +1​

Answer 1

Answer:

Here is ur answer

Step-by-step explanation:

If g(x)=x+1 is a factor of the given polynomial

Apply remainder theorem

=>x + 1 =0

=> x = - 1

p(x),then p(-1)must be zero

P(x)=2x²+x²-2x-1

P(-1)=2(-1)³+(-1)²-2(-1)-1

=2(-1)+2+2-1=0

Hence,g(x)=x+1is factor of the given polynomial

Hope it helps you ☺️

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