Question

.
If p(x) = 2x3 - 11x2 - 4x +5 and g(x) = 2x+1, show that g(x) is not a
factor of p(x).​

Answer 1

Answer:

plzz give me brainliest ans and plzzzz follow me

Answer 2

$\purple{\huge{\bold{\mathcal{Answer}}}}$

To prove that

g(x) is not a factor of p(x)

we need to put the values

g(x)=2x+1=0

$\large{x=-1/2}$

$p(x) = 2x {}^{3} - 11x {}^{2} - 4x + 5 \\ = 2( \frac{ - 1}{2} ) {}^{3} - 11( \frac{ - 1}{2} ) {}^{2} - 4( \frac{ - 1}{2} ) + 5 \\ = 2( \frac{ - 1}{8} ) - \frac{11}{4} + \frac{4}{2} + 5 \\ = \frac{ - 2}{8} - \frac{11}{4} + \frac{4}{2} + 5 \\ = \frac{ - 2 - 11 + 16 + 5}{8} \\ = \frac{8}{8} = 1$

The result is not 0

which tells that g(x) is not a factor of p(x)

Hence proved