Please clarify my doubt

Given p(x) is a 5th degree equations. If p(1)=5, p(2)=6, p(3)=7, p(4)=8, p(5)=9, then p(6)=?? Options:- a) 100 b) 99 c) 130 d) 120 Can anyone please answer this question.

#Algebra

Note by Sri Chaitanya
2 years, 11 months ago

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Comments

The correct answer is : c) 130c)~130

Ram Mohith - 2 years, 11 months ago

The polynomial equation will be : p(x)=(x−1)(x−2)(x−3)(x−4)(x−5)+x+4p(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) + x + 4

  • p(1)=0+1+4=5p(1) = 0 + 1 + 4 = 5

  • p(2)=0+2+4=6p(2) = 0 + 2 + 4 = 6

  • p(3)=0+3+4=7p(3) = 0 + 3 + 4 = 7

  • p(4)=0+4+4=8p(4) = 0 + 4 + 4 = 8

  • p(5)=0+5+4=9p(5) = 0 + 5 + 4 = 9

  • p(6)=(5)(4)(3)(2)(1)+6+4=120+10=130p(6) = (5)(4)(3)(2)(1) + 6 + 4 = 120 + 10 = 130

∴p(6)=130\therefore p(6) = 130

Try solving a similar problem here

Ram Mohith - 2 years, 11 months ago

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Thank you so much

Sri Chaitanya - 2 years, 11 months ago

130

Nahom Assefa - 2 years, 11 months ago

A machine-shop cutting tool has the shape of a notched circle, as shown. The radius of the circle is $\sqrt{50}$ cm, the length of $AB$ is $6$ cm and that of $BC$ is $2$ cm. The angle $ABC$ is a right angle. Find the square of the distance (in centimeters) from $B$ to the center of the circle.

Vineet Kumar - 2 years ago
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