Question

use this factor theoram to determine: - whether g(x) is a factor of p(x)
And p(x)= 2x³+x²-2x-1
g(x)= x-1​

Answer 1

use this factor theoram to determine: - whether g(x) is a factor of p(x)

And p(x)= 2x³+x²-2x-1

g(x)= x-

Answer 2

Answer:

p(x)=2x

3

+x

2

−2x−1,g(x)=x+1

g(x)=0⇒x+1=0⇒x=−1

∴ Zero of g(x) is −1

Now, p(−1)=2(−1)

3

+(−1)

2

−2(−1)−1

=−2+1+2−1=0

∴ By factor theorem, g(x) is a factor of p(x).

Step-by-step explanation:

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