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Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 2x3 – 7x2 + 3 - Mathematics

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प्रश्न

Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 2x3 – 7x2 + 3

योग

उत्तर

Let x – 2 = 0, then x = 2
Substituting value of x in f(x)
f(x) = 2x3 – 7x2 + 3
∴ f(2) – 2(2)3 – 7(2)2 + 3 = 16 – 28 + 3
Hence Reminnder = –9.

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अध्याय 6: Factorization - Exercise 6.1

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