Question

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Answer 1

Answer proved by Genius..

If P(x) is polynomial of degree 4 with leading coefficient as three such that P(1)=2,P(2)=8,P(3)=18,P(4)=32, then the value of P(5) is :

A

120

B

121

C

122

D

123

Answer

Correct option is

C

122

Let P(x) be 3x4+bx3+cx2+dx+e

P(1)=2

⟹b+c+d+e=−1

P(2)=8

⟹8b+4c+2d+e=−40

P(3)=18

⟹27b+9c+3d+e=−225

P(4)=32

⟹64b+16c+4d+e=−736

Solving equations, we get, b=−30, c=107, d=−150, e=72

Now,

P(5)=1875+125b+25c+5d+e

⟹P(5)=1875−30×125+25×107−

Answer 2

Answer proved by Genius..

If P(x) is polynomial of degree 4 with leading coefficient as three such that P(1)=2,P(2)=8,P(3)=18,P(4)=32, then the value of P(5) is :

A

120

B

121

C

122

D

123

Answer

Correct option is

C

122

Let P(x) be 3x4+bx3+cx2+dx+e

P(1)=2

⟹b+c+d+e=−1

P(2)=8

⟹8b+4c+2d+e=−40

P(3)=18

⟹27b+9c+3d+e=−225

P(4)=32

⟹64b+16c+4d+e=−736

Solving equations, we get, b=−30, c=107, d=−150, e=72

Now,

P(5)=1875+125b+25c+5d+e

⟹P(5)=1875−30×125+25×107−