Question

determine whether g(x)is afactor of p(x)p(x)= 2x^3+x^-2x-1 g(x) x-1​

Answer 1

Answer:

(i) Apply factor theorem  

x+1=0

So x=−1

2x  

3

+x  

2

−2x−1

Replace x by −1, we get

2(−1)  

3

+(−1)  

2

−2(−1)−1=−2+1+2−1=0

Reminder is 0 so that x+1 is a factor of 2x  

3

+x  

2

−2x−1  

Step-by-step explanation:

Answer 2

Answer:

substitute x - (+1) in p(x) if equation come 0 it will be a factor of g(x)

Step-by-step explanation:

p(1) - 2(1*1*1)+(1*1)-2(1)-1

2+1-2-1

0

so p(x) is a factor of g(x)

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