Column I | Column II | ||
A. | p(1) | P. | 2 |
B. | p(0) | Q. | 11 |
C. | p(5) | R. | -13 |
D. | p(-1) | S. | -64 |
E. | p(-2) | T. | 587 |
A) A-Q, B-T, C-R, D-P, E-S
B) A-Q, B-R, C-T, D-S, E-P
C) A-Q, B-P, C-T, D-R, E-S
D) A-T, B-R, C-Q, D-S, E-P
Correct Answer: C
Solution :
\[p\left( x \right)=5{{x}^{3}}-3{{x}^{2}}+7x+2\] |
[A] \[p\left( 1 \right)=5-3+7+2=11\] |
[B] \[p\left( 0 \right)=5{{\left( 0 \right)}^{3}}-3{{\left( 0 \right)}^{2}}+7\times 0+2=2\] |
[C] \[p\left( 5 \right)=5{{\left( 5 \right)}^{3}}-3{{\left( 5 \right)}^{2}}+7\times 5+2\] |
\[=625-75+35+2=587\] |
[D] \[p\left( -1 \right)=5{{\left( -1 \right)}^{3}}-3{{\left( -1 \right)}^{2}}+7\times \left( -1 \right)+2\] |
\[=-5-3-7+2=-13\] |
[E] \[p\left( -2 \right)=5{{\left( -2 \right)}^{3}}-3{{\left( -2 \right)}^{2}}+7\times \left( -2 \right)+2\] |
\[=-40-12-14+2=-64\] |
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