Q. No. 3 Which of the following is a third degree interpolating polynomial for the data given in the Newton divided difference table. ao a2 a3 a4 1. 1 3 7 8. 2 6. 19 27 37 64 4 1. P3(r) = 1 + 3r(r – 1) + x(x – 1)(x – 2) 2. P3(1) = 1+7( – 1) + 6(x – 1)(x – 2) + (x – 1)(x – 2)(x – 3) 3. P3(x) = 64 + 37(x – 4) + 9(x – 4)(x – 3) + (x – 4)(x – 3)(x – 2) All of the above

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Chapter5: Polynomial And Rational Functions
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Q. No. 3
Which of the following is a third degree interpolating polynomial for the data given in the Newton
divided difference table.
1
ao
a2
a3
a4
1
1
1.
7
19
1
3
27
9
37
64
4.
1. P3(x) = x + 3x(x – 1) +x(x – 1)(x – 2)
2. P3(x) = 1+7(x – 1) + 6(x – 1)(x – 2) + (x – 1)(x - 2)(x – 3)
3. Рз(г) — 64 + 37(х — 4) + 9(г — 4)(х — 3) + (г — 4)(r — 3)(г — 2)
4. All of the above
6.
2.
Transcribed Image Text:Q. No. 3 Which of the following is a third degree interpolating polynomial for the data given in the Newton divided difference table. 1 ao a2 a3 a4 1 1 1. 7 19 1 3 27 9 37 64 4. 1. P3(x) = x + 3x(x – 1) +x(x – 1)(x – 2) 2. P3(x) = 1+7(x – 1) + 6(x – 1)(x – 2) + (x – 1)(x - 2)(x – 3) 3. Рз(г) — 64 + 37(х — 4) + 9(г — 4)(х — 3) + (г — 4)(r — 3)(г — 2) 4. All of the above 6. 2.
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