Question

Use Factor Theorem to determine wheather g(x) is a factor of p(x)
P(x) = 2x³ + x² -5x -1,
g(x) = x+1​

Answer 1

Answer:

No, g(x) is not a factor of p(x)

Step-by-step explanation:

g(x) = x+1

x+1 = 0

x=-1

Putting x=-1 in p(x)

2[(-1)^3] + (-1)^2 -5(-1) -1

=2(-1) + 1 + 5 - 1

=-2+1+5-1

=3 (which is not equal to 0)

Since x=-1 is not a zero of the polynomial p(x), hence x+1 is not a factor of p(x)