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If (x – 1) divides the polynomial kx3 – 2x2 + 25x – 26 without remainder, then find the value of k - Mathematics

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प्रश्न

If (x – 1) divides the polynomial kx3 – 2x2 + 25x – 26 without remainder, then find the value of k

योग

उत्तर

p(x) = kx3 – 2x2 + 25x – 26

When it is divided by x – 1

P(1) = 0

k(1)3 – 2(1)2 + 25(1) – 26 = 0

k – 2 + 25 – 26 = 0

k + 25 – 28 = 0

k – 3 = 0

k = 3

The value of k = 3

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अध्याय 3: Algebra - Exercise 3.3 [पृष्ठ ९७]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
अध्याय 3 Algebra
Exercise 3.3 | Q 11 | पृष्ठ ९७
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