| 1. \[x+3\]is the factor of \[{{x}^{3}}+2{{x}^{2}}+3x+8.\] |
| 2. \[x-2\]is the factor of \[{{x}^{3}}+2{{x}^{2}}+3x+8.\] |
A) Only
B) Only
C) Both 1 and 2/1
D) Neither 1 nor 2
Correct Answer: D
Solution :
\[Putx= - 3 in equation{{x}^{3}}+ 2{{x}^{2}}+ 3x+ 8\] \[= {{\left( - 3 \right)}^{3}}+ 2{{\left( - 3 \right)}^{2}}+ 3 \left( - 3 \right) + 8\]= - 10 \[\ne \] 0 So, (x - 3) is not the factor of x3 + 2x2 + 3x + 8 Similarly, put x = 2 in above equation \[=~~{{\left( 2 \right)}^{3}}+ 2{{\left( 2 \right)}^{3}}+ 3 \left( 2 \right) + 8\] = 30\[\ne \]0 So, x - 2 is also not the factor of x3 + 2x3 + 3x + 8 So, Neither 1 Nor 2 is true.
You need to login to perform this action.
You will be redirected in
3 sec
